{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "compound-frontier",
   "metadata": {},
   "source": [
    "# Computing the autocorrelation function (ACF)\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we show how to compute the ACF, ACF plots, and introduce a class of timeseries with particular properties known as an AR (autogregressive) process.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is collected between January 1992 and May 2016.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "permanent-scout",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "from statsmodels.tsa.stattools import acf\n",
    "from statsmodels.tsa.seasonal import STL\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "velvet-lightweight",
   "metadata": {},
   "source": [
    "# Computing the ACF manually for a white noise timeseries"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "agreed-village",
   "metadata": {},
   "source": [
    "The autocorrelation of a timeseries $y_t$ at a lag $k$ is given by:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "twenty-crest",
   "metadata": {},
   "source": [
    "$$ r_k =  \\frac{\\sum^{t=T}_{t=k+1}(y_t - \\bar{y})(y_{t-k} - \\bar{y})}{\\sum^{t=T}_{t=1}{(y_t - \\bar{y})^2}}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "baking-bracket",
   "metadata": {},
   "source": [
    "Let's compute this manually on a time series of white noise where each observation is generated by random from a normal distribution so there is no predictive information in any historic point:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dental-patch",
   "metadata": {},
   "source": [
    "$$y_t = noise_t$$ where $$noise_{t}  \\sim  N(mean=0, std=1)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "olympic-placement",
   "metadata": {},
   "source": [
    "We expect the autocorrelation to be small at all lags as each data point is completely independent of each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "complimentary-kidney",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>1.764052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>0.400157</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>0.978738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2.240893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>1.867558</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y\n",
       "2000-01-01  1.764052\n",
       "2000-01-02  0.400157\n",
       "2000-01-03  0.978738\n",
       "2000-01-04  2.240893\n",
       "2000-01-05  1.867558"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_timesteps = 300  # Length of time series we want\n",
    "np.random.seed(0)  # Ensures we generate the same random numbers every time\n",
    "\n",
    "y = np.random.normal(loc=0, scale=1, size=num_timesteps)\n",
    "ts = pd.date_range(start=\"2000-01-01\", periods=num_timesteps, freq=\"D\")\n",
    "\n",
    "df = pd.DataFrame(data={\"y\": y}, index=ts)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ranging-prescription",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HlZTB/QuxO/v4SrNgy8EgjtPq4spbj1i3sQlq7piqyr+jKMLvf+J7eOk7v4FPXHef/J4vNIY9mV1713F88caDQz2HDXyAH4XOHT2X1aY37gh8sh4X5k6tLevHxnFAL8wdn2KHMa4NK6FiM+rcPTz5/8eSfxx3Afhkvyfgq8Ad01XcN782VmKlCo07Bs0it6x3PZQDZWBvlHQD9eu8AcS2St0+VZN/rzQ7uOn+OK7uziMrxu2Hady1Ol286l3XYKnRxlffcCnO2DU9tHMZzz/i2rJ0n9e8cSfBk0vGh7kbr0W4R+piLTOf80Vrq9vFJAarodgdkidu0zF3URRdGkWRsPw7cxDn4A9+qhrbv+NkuIybW7bDYhI83EHG3UqzvSEyMlzo1YauA3N3ZKkhmew15hpUDcPhGT1rrQ6WEoN4FKUBeeWBUcTcEUPu3bIxut1IMaRWxsTo9W7Z8QMNUaWYO86sDYO5UxYBgzvupjPuNgI8OHeqHlvp46ThxjvYOEih0Dw+TgbwZgAZd1EErA54or7h/gVcfsth5Tsy7pyZOzbSbJ9Mmbu7jq3KCZS7BocdmyLPw/r/KAwcReJiJFIoCXPnjTsAWQN7dVxEjH1Cxdghdcu6Pw/+6FpDWLQqC+oTmbkbFlqdLo4lsU+c4p+qxcbdOL2cCnM3Bu3qeuauJxxiwtjL64ObkDrdCC/712/gFf92jcysBNLVai9u2TBMa3XeeH8qdbJuY+6GyFSMOuatNeJsWbrP3riLofeBcWTufDzyeICGjk43cp6vbHHIgwIfz3z5sSFgrdXF/fNxgDsfLCYTt+w4uD8JqhTKCBuSgDq8Dxp2B19MAMByY3DZpeutDuYTHacDC2kiUOqWdTPuOpZB58YHUuNuzcrcDa8v8GOPgrnjq34fczd66GLO4xJzxyftMkyRx/DQVZ6J27sbDTlRzGfLbgDIqFPcssTcjdHLOazsml7BV0Mebji6rGbILg2QueODVssQH5bL3PGBzMLi3XB/WrqHu5PV7MAhMnc5Ei3DRhRFCls3CuOOnl+j3fXvHLLPYFyyZVXmzj+ncQBf2Lqy7hsphXJCJ1QMEzRIKG7ZJOZuHGLbCMPKrukVXueuPA4tqdI6g8yYbSrGHTdE4ueT12f4yrZtmZzuYBmy64w92igpFN6WjWbu9Em64ThBrDTaeN7bLsfvfvy7fbdh1MzluEE38MeFuVMSKrxxNxbgj8F1YaZKoQx+Medry24AyKhrGrJlx2nlNSxLv1dQe8bpHo07Di+pWZ6DjLlrW7I5+5FC4d/zLsfjvpQA8iHGonHjZqOZO9295jpBXH/PPG64fxEf+dY9fcfV8Pvs4+7Gl7nbqPfBwx3cxerqllWkUIawaFWycT1zNxykzF38fzUUqFbiQPJxMlx4nxyHdnmdu/I4pBl3SwNk7lpW5i6e9FyNO5dYEM6SdC0u3UGjPULmTnflNNtu5+f79TuA8+v3cXdZ484zdx42KIZa2+2ZdIfErBF8QsUGgAZgMu7qlRChGEfjLh00xoG589my5TFM5o6vLk2lsvIekz3mzrzKXW+ZJ7ChJlSMMOZOZ2Bc43YGKWg7Srf0OGJ8s2XHKzbaQ3PLdtz6yYZKoXidu+FAj7mrVwKEwRgad6wp45CgSgaBz5Z1R8a4GxZz1+aGXrERbtO5s+1jFTHeKCmUDTZuenXLDpLF4fv7EmQmt+x4MHeKHqIfG8cCSkKFK3M3bCmUIenWeuOOQc+WHVfjblg++l5B49Y43aNxh55QMcgJqWWIswPcRIxtrlUXt+yGiRiPNOZOd8uWN+76Vbnn1+9j7rJSKONi3CnMnU82Gwvw6dKVde/2EKdXBoonzrtlhwM95q5eDVEh424MjChCe0idoVekzN3o27JZoDN3g425Mw9GlNmZ15dt8Zy2Z7ve6hpjLocxCKbH5m7ZUcfclXfL9stwKzF33rgzxNx1lMD5UcHH3I0fejHUhu2RUESSPXM3HJjcssEYMne8T45Ds3zMXXlQQgUtHgYbc2dLqHDJljVPSHn7rCfvy7ADj03H5jF/GwF9cHdd/bu4uF2hXL93y2bY23Y3GknlEB3tARr0HoMBf3dcSwfy13UY45pNLL5feOOOgYy6NKEiSJm7MTJcimrRrTTaitDsMBFFkaS6vc6dG6Iokszd6bumAAw25q6tMHfmlaptEOFzYtuReaCMzfaQV7imtmw0c6ev9ludyGlAHmjM3RaTQllutPEr/34tPvCNu3ra38Sero6BHAo36MZp/jiRwR+Dq0ZlUVWLHxxYwievu69nw8xXqNgANLWYu1olQDCG2bJFqdO/95/fw/PedgXe9qVbht6WYXXMrYzF9bZcQJy9exrA8Jg7PvHxv230vy1bNm/gIgNjo2LuuNG50cydiRFyYYmaQ8qW3QrG3eU/PIzPfP8A/u6LvY1XZODXwnQ6WxkDORT+vvmF73hA0blzZu7y393XfvDb+I2PfAdfv/1oT21SPCTeLTsckCWfumVDVMLhGXdf++FhXHf38dL7qbVls+361PX3AwDe+oUf4t7jq7030KUt7PTe9eAGHm93VmLcDTLmzl6hophJsLlWdWNt37a6/JuYu42rLTs65s40SbvE7rQtz6SnNmwxnbt1zWNSFrTf9qmq/G4csoht5fs2GvOrTXz0m/dgfrVZvPEWRy+CxKoUSnYfCrHhdbxLtcm7ZYcPYuyazC1LzN2gX8775tfwc+++Bq/4t2tKT1BFbBmfeN/8qRt7b6QDhp0mvhVBxp0QwBm7Euau0RrY8ds2nTvulrUxdw4VKoC03YCFuduw8mOjzZYF3JIqBllnlBvOW8G4o77S68RG/XrndE1+Nw4Zs2rM3ejGxte871r8zn98F7/2wW+PrA3jgt507vi4ln3Xea3nXuCZuw1ARsS4GqASxLeojFjwwloL7/jabbjr6Ip1mwML64iiON6kbLmcovJjE9VQ/v2FGw/iO/fMlzp+r20ZRmmWrQiSD5mohJJtGF5ChdkNYTMwlMwtQ3JFstbBQ0+Zk79J5k5x6Q4zW5ZLoYw2W9b2nY7WACf6zhaLuaP70et9oUX5tomq7J+jZu6iSE3q6IzQq3HNnccAAFfe2pvbcCuhpwoVBZV3WprHryxUsqanQxjhjTuGbLZsCArjKFMb8EPX3I0/+/TNeMunb7Zu01BqcpZ7ouoEnP1djyW459jwXLMdz9yVBt2nSiAwU49rFy832gOTbzDVkwXUAGLbXGNj34hV+a1nnY+//9lH4PXPPA+1SvxyrBqYu2Ea+uOULQuMgrnbmsZdr/eF+ni9GmC6Fr9Po2bu9GvxC9/xAB9iXRMqijwS/TJ3Plt2A5DRuasECCVz536cI+SDX7T74HlHKJu2X8TcNXW5hiEKvUY8u9LH3DmBnlkQCMxOxJNRqxMNTJC3bWDroihyS6iwuGXp2c5N1fBjDzsZsxNVTCYMMclxtAeYNJCHccqWBcobd30zd4pxu/mNu46D/mIeuOj8VC3uk6Nm7vRn7Be+44FuDwkVvFvqDGwURfJZN3pcaCrMnXfLDgdSCkWpUBH/VsZwoUk6T96CD8plV3W8g5qMO30CGqaKv2fuyqOtMHdpEPig2AaTzp3ex6wJFZbnydlGgj6RdgpiUwYFbkSOKuZuopoOnS7vl1pntN+Eii0Wc8eYu17Ya4qdqlUCTCdM+KizZfUFuxcxHg8oyRE9MHd546hrDF/m+Hw+98zdcJBxy1bDlLkrMR7TcZbW7UHy621u3JUb7IsYEn1iHSa7sVHyF1sJdM+CQGAmYe6AwWndmWLu9D7mllCRZZtCZtwRc5cmVAyOncqDUn5sg5krerfJnQ64xtwNRhaj242UCWrUDNUgoEju9HBr0sV4mC44Rqxzpz/jYS52PNzBjSdXj1Ze0qBa59ozd2OLTEJFJUAos2XLMHfxwJIXJM87Qlm3qcrcZX/vtbh5L/DZsuVB9ywUQjESlgaUVMGfP/VpvQ/YjK+imDvO3E0mE+m6NO6Kjz8I8Otb3+DasnRdUzVm3Dm0YVAua33w3woxd/1K6FAfr4Us5m7EzJ1uzPmF73igl/JjqhSK/bkOJOZugN3EG3cMZHCpMXfxZNaN4OwyoMFmpdmxDuSqW7aPmDvt+HqWFjBct2xRJpFHFjTRh4Fq3A2HuUuMO525czHuDH+bmDvplu0Ohp0C4gXSZ7//AI6tZLW5OtrqeyPriNL9rLHqNRsZc6ePJ1sh5k6tnFJ+fyldVQ0wVR+PmDtdD21UC1/+nk8yFYUTFXy+0mPTXfbRxzWeud6rh8xVLL4svHHHkDJ3PFs2ncxcX1DOytkmbG5wlY25y6NxeUehbMZhMne+QkV5SOYuEAgDIV1Jg5JDMQnm6n3ATQol+3doYO7WjMxdf33uo9+8B7/879/Gm/7rhsxvunE0zMWLDrqP1TAo9X6pshi9vyf6tXvmLn3+tTBgC47RMnd6sP6o3LKcwaRx5kSGonPXg1tWf/84k+cyDnW6EW4/vKwsSH35sQ2AqfyYYtw5MgT8IduMOx4IXpq5y0mo4MciVmiYMXd8LPZxJW6g20R9i8uhDAJNJVs2Sr7TjDtLX+5amDvavmKKuTMwd/1KP9x7fA0A8MDCWua3TEzpBiZV0D2phSI17pwqVAyG4e5o93UrJFS0FPd/+f05c0fPZNTlvnQjdVReDT6mTHrjTi0/1pMUin2R7DIO/el/34Sn/81X8bFr7zUew8fcDQkNmVCRdcsC7lY1XxHYkioafSRU5Lll+UA5nbgoNsot65k7N5ARRF2LjLtBlSDjA5At5s7uljUfpyNdyemQIZk7kkJRVqD99TlipExGYpa52zgDhxiZShjIWqblde56vzd6zM9WMO7URJxemDuqLRuiGrob3MOEa3b6sMG9AdMsTvRERS/MnSqFYidTXMah79+3AAD44YEl4zG9W3ZIoIfNV4KVXtyy7CHbXG0qc9eHW1brnypzF8tsDNUt62PuSiOVFYlfP8qYHZRb1hhzp7tlbdmylueZxtyl2+rZsnmxKWVBsWSmyT4bd7ZxEzndzypn7lyMuwFllevXvhXcsv2WX+LjdTWpBT5q0WB9wd5vPeFeseSZOwW9JFS4SqG4kCiLCdljK+3ombshIWXu0pg7qi0LlDHuGHNnc8sOirnLccvOSres+/E/8s278ap3X+NcssxWaN7DDhofgoxbNr++7OW3HMYN9y8UHl9xy1oSKqwxd8yYMsfcZZm7VYOIcb+G/lpisJmMRJ292kjmju4tj7lzUbp3Kf3mgq0Yc9dvJjGPuSPmzlWgdlgYR+auFvrpXmHunLNl7TGhrU5J426tlTm3j7nbADRJxJi5ZSthv25ZS0JFHzF3eSLGvF4euWXLMHf/8JXbcNkPDuMn/uFK/NNltxVmIupMz0ZmLm5WkAFFY6007nKYu7uOruAV/3YNXvav3yjsh2pCRbytPtnZy4+x4zjG3EkplAHWliV3o+nd0OPONpK5a0vmrne3bD+spunaB+nKGQVsLIYr6P7XKsy4G7FbdlykUHjM3SBZoc0KPj/14pbNqzxiWmTeeWQFL3j7FfjQNXcDiOvOA2r/4GNlmRr2RfDGHUM25q5/5s7qlmUdoazbNM/S5yuC6R4SKu5mdWj/4rM34/v3LeZur8/hm3ye2RCkCRWaWzZHePWBhbiU3fxqqzATkE9sMknINaFCiaGM94miKBVeFnkixoNzy1KfNU2KI425Y27ZesXdkGgNaHVuMppdGIPbDy/jF9/7LVxxy5Gezz0s2NhiV/DF+LjE3Ol9dFQJHnz+8Z4V3cXq6JbNqbyjxNwZFplfvOkgrr93Ae+58k60O12sGLwc/LF45m5IaHa6aHW68gZnYu56yJa1JlT0EXOXp+jOB/+ZHtyyerr8/FpWZ4xDX2n4+rLFSEWM48/kPs+raMIHkSJXXMswgDlLoRjiS/h3nMnOuGUHFFcGsCQNY0KFei0bydyZ3LJOzB3bZpAxd4Cba/aT192HL950EO+4/Paezz0sDMwtWwlQS/rnqLNlx6X8GA8LGpRXZTMbiWrMndt15EmhFMXcUT84ttpUvHhqDC5j7gY4lHnjjiGK1LI1eras64ChJFRYde56j7nrKsad3S1b1riLoigjilrUNv1F38wvvo5jK03857fvHZhECUHXjJsg92bOc+LPYb2Z/0y4IZHWltXcsg7lx+hvPqCZdO6oz3R7WBXbsFYioWIjmTtaufP4LqcKFQo71fu9MRkJLppu1LfyFhCjQv9u2TRGenzcsvq4OJr2KMzdAIy7X/vgt/GEP/8Sbj+83PexRoGedO5yPBJtRecuOw7R9vOrTemSjb83G3S6zug3bj/as2ajN+40LLLBTxcxdvWHu8Tc9VWhIkd+hK8Yyd3naty1OlGGCSx6AfJElDc7/upzP8D//Oj1eM+Vdwz0uHSPyMVZlwyQ3UhpMqO9kLkzxNxlyo9ZFiqmChW83+fp3PU7SXPIbFlTQsUIY+7o3lYMOneL6y185eZDxnempSS52O/Nv15+O37uXdco4xCH6b66VKmg+ziO0in9ZguqMdLjYty5vW/DBk/SGsQt+e/vPoCDiw284O1X9n+wEUCJueuh/FhGv7AgoYLGxFYnwv1Ms5OPAW1LWMJHv3UPfvodVxuF3F3gjTsNqnGnMXcOE1YURZpbdrgVKvKyZUnXyHWFsm4wLopKtOhUvx7wvZlx/3z8Mh5aagz0uLJOa+JCcnHvKcxdwWTO+6lV585BCoXYBn48HnMni7QnK8u8FW5ZkMFmTKgYacwdc8tqzN2f/r+b8Or3fBMf/MZdmf34/c8zfP/pstvw1R8expWW2DjTGLRWwOQC6fMedc1VE/pJNuHlFuOYu6QknHacL9x4EJ+87r4+W+qOcXHLcq/DIBNvlhptXHvXsYEdb6PAb0FvIsY5blnDIpMb+XcdTePZVd1L3r70eHceWQEA3JH8Xxab0rgTQuwXQvy5EOIrQoglIUQkhLh0EMfmxli9qhp3Li+H/lLb5C2GVVuW1y2dqJGIsdvkt25Y1RdJCuhN30rMXeoaHOw1kQFFhpJLpYMyMXdNzS1rqjdsMzBMBho32HnMnXQnt7JGYN/Zsjn3Xv9uY2PuWLYsSaEk9/ve+Xjwvm/eUFVDEeq19ycaF2x9weTec4m5o/OPO3NXNluw1YlkNmOtkj4T/r6sNNr4tQ98G7/xke/gbjbBDhN5RsBGYmmAbll9If8Xn/nBplNHUGrLDqT8GGfuOlmyg/3OjTtbmIYphq9XuaNNadwBeBCA3wVwKoDvDvLAinFXCRGKcsyd3mHcmDv3ySmKVNep/sIq2XwlYoIAdZKURdFP4Ji71DU4WONBj7mrVxIjXDNS7jm2iqtvPwpAfYZFLzvvp1EUn89ZxNjgluXH427ZKWKGO120WSKSvk8vyE2o0MuPjSDmziRiTKye6do5O58Xf0WThY3N59/Ts3AZ/OnZrI6hcdePwDMfn2xSKEvrbbndPcc3yLjT9dBGFXPHmbs+DTH90Vxz5zFZJnCzoBfmLl8KhcXORQbjj72vdx9bMX5vC2ehca3XxetmNe6uBbA7iqLzAPzVIA/MA45rlQBhSZ073e9ury3LpFBKGA96GzIxcoxZqFdVZqEI3C27bTKublH0Augrla2ULWuKJRsE0goV+czdK991DX7mHVfjhvsXtIQK95i7+HOWubOWHzPEc/JJQRExrqaZ1WutTq6SexlEUST7omlSHCVzx92yde25keFnGicU12NOf2rJY9iYu3hfIVK3uAsbx427cdPFUybIkm1rsHGUJ1TwRQFf2BxZHmyIhQ26WziKBusWdQVPqOj3/KZ+PY5u/jz0onOXL4Wih4joHpL0851HGHPXMfd5PtbSYr9Xtn1TGndRFC1FUXR0GMdWmbtAYe56Mu5cmLu2+0unMy7Z2rJpNh9NPg1HWpcbnLMTbvF6enu2EnNn0m8bBHTNOJsY7r0Jy3Dv8TVlsijjlgVi46MXKZS2IeaOvw+TtXT40I27frIDG+2uXC0T85jX9o2tUMHcsqGaCGNiOglqjI393tN124zjNlsYyNq+reIJlrfJFFs7SvRT2STL3GU9Drx/HFnOl3YaFExs/yhCVgYpYmzqt6OWnCkLxS3boxTK9+9bwOs+dB1+cGApOxZpYzN/5lxD1iYbZXLL9jq+nRCVhIUQ8wWbzNEfxNwFIh5AOyV17vRJdHHA2bL6nGkrZGzK5isCXyGQcVfEwGTPv7le9jysDyvmTnfLWhhWOm+z3S0Vc5d1DWSNOxcpFFPMXajo3KXDx1qzo61we79nJjmeMAiVzxxldBz7hYtb1pRUZHPDqNu4GIDxNmEgWLZy8fXz4600OtKlPg7oJ8ua9+t6JTW41YLu6d9HN4i5s+kz1jaYT1lSmLv+jmXyyoxaLLoseHNd5101DrmLd195Jz51/f3YNlHBY87aqWybGcNZP+CGNh8P1IpT/FjxOHhCMXfDBBlj9UoIIYSSUOHG3KkPwpRQEevJ9RZzp79g2Zg77jaihIquU+AraWFVw3TiKGLudCNhSzF3yUs16AxgmVAR2Jk7zuI0210lsWWt2cGR5Qbe/KkbcL2hBrCpaLn+Hf+40mjje/cuJPGcWSOE9zGTFAoQG5yDEjHW3ax5wqHx9iPKltUWT6bsYiCeHFzqR/KJ0jYm0GRRCQKZ0FIm5g4Yv6SKfow7PpnWuBRK22zcbZRblsIJeD3XUTN3fcfcGbrkZmPuenHL8sfW7kaSAFprdgxehPyxS35vCdMwMXfrjvO3jhPCuIuiaHvePwALNGUtrMYPbiJhU3S37KGldXzth4et8Qt6h1lvZSdWfbVThu3SXzD9mXO3LE0+UeQ2sNAkOVEJjVlnLu3ZKjF3URTlCun2AymFosfcWZJsmppx1mh38fFr78W7r7wTf/m5mzPH1wfcVjs/oeL1H74OP/b2K3DZDw4bjRDuYjWVHwNooGMDlhZTcsvBJeeYH91YKdIM20jmLk1YClAL1QWQZDoLgultE6JLpQbO+uoi0nlQmLsxi5Pqp/yYztyRW7Zlibk7ukFuWQq1IVYe2HiZqCiKVLdsn8alaRwcdLLZsKFWqHCMudO8GUSCxIlk+SEitrmDzt1li3j9XDSudbpRTx6xE8K4K4NDS3ENz7kkoSAIBGg+63Qj/PqHrsMr33UNLvvhIeP+polGj7vTmYkyzF1RjFurnU4+FHNna5cOmiTqVXel960ac8cFnYfmlhVqtmyzkxaB5/ex2e4qtWHXmh3pXjqylJ2s9MVDs9PNTai4nekp8c1o4LZly06wiSs27ti+bJ9/+upteNbffg1/+bkfZNpqMvh0Zkkf2LLlx0ZQW7YSoFpJ4rvILWth7lyrFbgkXSgxd1VVZzAPvD+NW8ZsP+XH+GRaY27ZZidlO5SYu5UNirlLnjFfAG10xux6S81g75e5M4UltTbZeK+zcC4LzkjxZnTleNPqdLN1rgu8DgQZwqHH0POEihIKCSZ44y4BGXCHk0mTjDsgndA63Uimftv0kkxChnrGrG7dlzLudBeVzS1bEdJoiNtV3Dmo007W3AtwZ3T2NtnLbgN/mfo1WG3aR4HG3AE881I17lpahYrlpEyeqZKByS2bzeLKTqjtbldl3+h7S8ydECzuq9Ux7gvElT4A4J+/epvShv/x/m/hsW/5UsZVpgf8Z0IRClwhw4R8vwLBDAn1PmWYU0dBWxcxX5lpHQomIl2OuVtttvHOr92OJ7zlS7jx/sXCfYeNftz5ils2DFCtZN2gSrZsD4Lkl99yGF+/rVz+HvWTSVare6MXvktaSFC/5zdmgW/guzcI6AauS8xgRwtVaUjjLsqMTZlx1poYlbJyyvacuWNzkGtSJIc37jQcTl7+bcy4I1dUpxvJQddWB7TZyT4EfQLWDcB+jDvdcKDOWgkCo9GQB2IUuVv2RM2W5WxQP3Elb/qvG/DoP/2Sshige1aROnfZ58RX+bpbdq3VwUqyYFhcyxp3JuNCZ79MyQ/tbgS+WVH5MSCdvFabuhRK3F4Kc9Cx1uzgczccxOGlBq6967jymy71kr0efbU8AuaO1ZYlhtOmc+cqIG0rScSRMneBTIpwiaFrK8ZdB//x7Xtx/8I6vnTTwcJ9h41+2CWaTGuVAEII+UyAtN/w+390pVEqfunIcgOvevc38XPvukapDVoE6icTbIG90fFpusdoGMbdZgvDsYUx5UFh+zppBapWH27ZNITDztyV0TY1wRt3GihV3sbc0cOyuYLIcJupp9lo+kumdwCXlOxjK03ceWSl0JiiTlPT3bIOWmAy5q4aGrPOTNDf980WYGsDnzD7GRQ//b0HcGS5ga/dcjhzvMBg3NFz0t2yus4dGXcrzY5DTGc3U7fWKHnSUd0UKaOXfsdj7njbm+2ukQ38+u1pGa0L9m+Tf983nxq7ugGoD2TZZJD42FO1NGFoo8DdslStI5VAURMrCNli45bVvJJQYWPu4m3CIGXuVhyMOz5prDU70lApY7AMC64agCbQBEiC7VXGLNN7wMe+9VbX6X4RDi81YhHwTheHFted96NnyUMXNtqroXuM+i0mYdZv3FzjfYa5cxg7FLdsR3fLasyds1vWHMJhirkDetPyHJ98+JIQQvyv5M8Lkv9fIYR4EoD5KIreXvp4yf90c7dPMeYuSAdx6gy2m00DylQtRKcbJS60gpi7oozUboQn/cWXsdrs4AO/+FjlN932SicfUZq5W5PGnTkw2dY2tT2b62W3gRsY/cTK0MvLA7n1mDvTc9ITKpoac8f71NJ6Gzuna+k5dWPPlFChBQnTfrqBFkVqpqfO3KUGTtfIBl7OaqTyPe85lirbz6+pcVC6cZdZwCTPY7pewWqzM5ps2SBlifSECpMUDYdLtqw9Li9lfVPmTh1f7jm2iigCTt81Jb/jBuZKsy0ZX/Iq/NZHr8ehpXW8+1WPlhmnG4W8copFoAmQEhd4dirdd33sO7rcUBbfeeB9sRRzl1zHRJW7ZTeW5cowdwPUuRMiNhbLls4cNbK12IvviV55pyvrXkfZmLscKRTle/KKOBp3vTB3m9a4A/An2uefT/6/C0Bp4w4aI2Fi7rpR+jCLmLt6NUCECtZanUwJMpOOVx7uOb4q42q+qLlRdBcDdxuVZ+5otRlmJi4bbBPvZsegYu7oefC4Ml3nTjHuNEOBvuOD0Hqro2Q8Lq61pHHX6UYZNrVlSqgwSJ7EbtnsYKPE3GnGXZXFnXUMbsUrb02NOx5Ldy8rA3VcY+6yCUdm5mumXsHhpcbIsmWrzLDlvxVpPxYFWZv2IfC+M11PmLtGel9XGm38yP/5GgDgmj94JqYTI4a3aXGtLdmrhbUWjiw38B/fvhcAcPOBJVx8ypzx3MOCiwagDfS+kFFXMRh3utv+yHIDZ+yadjo+DxEoZdwl7eIxdxvN3C01hueWnaiEsfzRZmPuLGRI7j5aqEo3St93PaaubLZsRjaJfeTH6kW+aNMad1EUieKtegc37kLG3FFntqlG0/e1JCbn8FIj85Lpk1FRxtFND6RBz/u2TSi/6ZOxqbB5Xns5FLesowDyVtW544N6PwMY3Q9u3NE902vLAulz4i99Rueu1VEmdB7TaRqsWp1upgqKytylA03WWI+U9gptEVRjcWe8zd0oTjq6k8Ua8gXGPawm5XyBW1YfIOl5kHEzsmzZtlrqylahIsvc2eJwOHOXv+LnUig8W/bwUkMaboeXGqlxx97Tg8y9uLjWxvxqypxuZLUPQj/lx247vAwgzvAHVLcs9Xl9DCtTpaJX5o6e0zjF3A0yW3aiGmCt1RlZzdxeod8Dl4WhLmJM/anZ7mbm7rzENY5WJ+sV0bdX3LI9vJc+5i6BbimajLtuN5Kd2eaWlW6CSojZZGBdWteZCY25K+hgNz6wJP8uKiNFA0g1FIqLwiW2gAb2cjF3xazEeqvTkwjjKDEo5o6eBzfu+AQNWJg7nlDR1t2yXcUtu7jGlc/Nxl0jxzVI7Wlpbln6TbZXZNdTFem+72b6whWMtQPUfs+ZuwXNLasnVGSSQWTMXfx+bRRzF0Wp3lQ1EKgEquxGqguYb9zZJnn+jG0rfjKEKqHAdHL9PFu23TUfg7+XDyykhvXCWkthTpslSiEOCr1my37zzmN4x9duBwA87UF7AahuWVPMHVBO646PA4trLTTaHbz7yjtw84H8LGN65qNk7vRwoL517jrcuAsz320GZN2yLsydyqivS7dsN7NQ0+fZPLdvx+QpST5HkRpKU1RP3ARv3FkwN5nGMNGk1mQ1L200KY8BmZ2IDcRsQkU24D0PXK5AZzVs2T/VMM4ek/VlHSZAuqaJSuCuc9fVP6sNuuvoCi75ky/gtR+8rvD84wR+n/txNdNi4Igh5k6vLQuY3bJ6hQmeUAHozF12MGl2sjF3xkoU3SjLxHYiJYhfR9pPsvEnB7QAdNW4szN3+uInI2KctIfipjaKuePXV2WCue1OlOtadHXLKjVWC2J1wiBQMpVN5+KGGp+EDiww5m69pdz/UZSTUnTuHBeBy402XvfB69DpRnjwSbP4nR95EACo2bJdc8xdmSoVa4pbto1Pf+8BvPlTN+KN//m93P3omkYac9fQmbv+jsfHhrqjyP24wRSyUgTeJ9V5Icq8pzrznWdQt7tRxq1LLKE+X3vmrg/kMnfJIM5vsO1m8xiQGcnc9Rdzx92y+r565+FuWSBlhdxEjNPVpnPMXQFz95175rHS7OCq21QWZ9zBmdleV9y8hBjX16JBkmI5q2EqlN2QzB2j5ztqbdiVZluZ0LkcipG5a5uyZeP/OePU6pjcsmm6v55MEbc9HeT1fTPi3ewa7jlmj7nLumXNfYxcjhvF3PF7y6VQ9Ky5TIWKXnTuLNt02LNImbv0PisGotKm9BgPMOMuZu7ShccodMuUJB5HY+Hbdx3HgcV1BAL4h5c9UhpRXOdOumW1aypTX3Zdc8vefTRelBQZiFIKpcpjADeW5aJYQ064l3V7c/A+Sfd7s2XLZqTDXNyylktstYtFjPPm9lana2Xu9AWJS/1oHd64I2jzlmLcJW+HmlJfxNyFmJ0wu2WzzJ39BVlYa+G++ZTlyBh3ObVlAbD6sg4xd9wtK2Pu8l/erECv2QW1GcSNDy818Evv+xb+6/r71RVajwMYf7GXGm357HQpFCFEpr4sZ6t0KRTdrWSLuSNbzKRzRwammh1rdsvStoHRuEvdshnjLhFRnWFB/a1O7FLmBt3Can62rM2tObPBMXc8brEaCkUKpZXDurlXqCh2T/IKFSYpFB4DxY/Hz3mYGSbLjTaOs6oNI2HuuBHq+KoRcz07UcU5e2bk90YpFG28LRNzxxd5C2stHF2J711RghrFYsU1yuPvNjoeOW0DK4HWR3gMNwzr0i27uZk7l/5uCylqdqLM9bvG3AHxuKCPBVEUn0/vX72Mcd64S5Bh7qayMXf8Bttj7tKEChJCLmLu8joYZ+2ArDs4ky0rmUNVQ81lhaK6ZYVyPBtsMX/ys0WJexzxme8/gC/ceBBv+9ItSoxDr23XJ2ha7etSKECWYdVrY/LPuvGzuNbG1bcfxRs+dr3i7qSYtJbG/PE2KPFORuYuUgwKHXluWXILcVmh9VYH97E2AsD8Wn62rK1PTbOYu42I6eSGE2fuADUjsyihwrZYUCtU2GLukmfBKlQ02125vUlIWm8Tv1VRFGfjE1yLqQ8KXS2729V1Scw1L+8FANXAkC2bMe5KuGV5zN16C0cTQ7iILabnUQ2FbNNGL3CpDTxhq6/4YSVbNnnvSx5vrdnBffNrI3Pn9qJzZ0+KMDB3mWxZ9XcifIB4PDHdhm6UPc6JJoUyYNilUMi4U0UF892yccxdfHv1ChVlasvqxp2+r02KpCKZuxJu2WSbiVrK3BXH3OmshJlJ3AzMHcUeza82M7EVvUCPpziy3MSpO6aUCZpQr4RYQlu+1HkixjoW11v468/9AN+667jS1qlaiOVGO465syRU8O1bpgBfZvDlx9x1My4fWtRsn6pKo3O91VVcskA8UTfaHTkJZWLuLOXHyC0b621FqFXcEugPLKwjQoT9c5NO2xNsblkgPwHHvUJFsVuWx9xNM6221VYH28LAWsIszx13F8toVhJ3mh18/Np78KTz9uCs3W7SIWWRFXF124/u91RNNe6CQCAMhGSJgexEebREfVk9W1Z6cQo8IXTuShDE701n41kuGnsnqgEoh4YbN4eXGlhutJ2fLfUhIeA8P3C85n3fwudvjKW8zt49jc//5lM2XFNRfw9c3MpWt2zHVKHCHB9M2DVdk+OiqXwZEI8PmZg7z9wNBnE8SzpohMnKi99gm7GUZssG2JYkVPBsxngb92zZjHGnx05laGbVLVsm5o7Yh4kKi7nrM1vWxCiMK8h9vrDWUmLaeg2E1mUCKO6Onhmv9qAzrHr5sbznsLjWksYTl7mgyT+WQlH3p+emym9kDbTimLvULWtl7lhy0nqrIzNl+fF4lQqdneYDMM9Y5UK0rgHHa80OnvW3X8VT/+oy3D+/VrwDb4fulmXtz0vAca9QwVlUG3NHRoNQMjFXE2kcPRGn6JwAcPcxM3P3ye/ch//v/96AP/qvG6z79ovs4tDtXaM+MqkZd4DaJ4H0mmjB3mtCxSJ3yxawxVJsmvWTDWfuulnmjprQ6nTx6D/9Ip721+7vAc+al9fkaNytNNrSsAOA24+slDKyB4Wy5cfyFkVG5k4nX5J+cP6+OHSAV+nRRePlOb1bdrDgQadzk1VFz4s68prili1g7ircLVvA3OV0oJuYDAowXLessfxYUfUMrekmtx59P+5yKHxFxeOQeo250/dL3bLxPeWLVl1XUJ+k857fsdUWDi3FRt0x1m5yWbXaWSkUkyZbq5Nl7riwsTnmLlk8GMIUltfNblkyRB900qz8nrtm83TuePfaPZsajYcW3SbsQ0vrWFpvo9nu4u1fudVpH4LuluUSNspiwFDbl8OlQkWR0HHIEiri87eT/XjMHTfc7X2Yu/L5PrQYObzkbgyVhb4AciWCbG5ZgAlrJ8Y4LWxP3h4ztfOrLbz8X7+Bb915rPA8ekIFvV/EFttAz6EWpmXqNnqBK0tR8pi7pA3coL/iFrdkNxoHQladxTWhwuRW3OgQAKC8WzZPG9DEvGWIm+R+/4+nnIOP/fLj8fvPvUDZ39QnYuauf7esN+4M4C5ZIJ3UXNyy9FDqlZC5Zc3M3QxjVmyGz3Et2LwoW5ZLoVA7+DnzoJQfc0yosBlzaXsi62/jBi42fXApZcB6bbc+qafGXfzZxNyltWXtCRU6bju0LI0e3l9I5LfJjEMy2mlFqrNFOnHC4/DyYu7WDYPkijHmritjvC4+eU5+z+U4stnkvA+l5zltx5ScuO48spI5vwl8MP+/191XKnuQ71sJVOZOEb0uirmzMndmlyoHfxYKc9ekepfm9y3PsNBDAPR265nWZfCN24/ile+6Bt+/b8F8bsdkEx00VpmYOymsTVIoyTU96owdODtxQV5x6xH81seudz4PEPdRvnjKG1PbjLkjz89Gx5lRX+AJFdTf7zicvi97ZutOx+uwhYWrVBbBNF/avEnDTJCyif67bq9DbysxupGWsDZRDfHoM3cqoRRtQwIbnVM3OnupLeuNuwR82tqmGXeVUgkVySTK3LLLjbbyEGnfGRYzZBt89cmnKOaOK+hTOwBX5i7eZrIaSuavaGDP1sbTXVJu7ME4gCe+cC2wwSVUxBND12As6cxdXkKFDp5NfXwlNZJIroCzSiTNkMbcqWyRKb5NF13mIBeYaUCWMXfcLdtOmbszdk/Jd4AbpVmdu8j4dzUMcGZSP/UOR+OOTygrzQ6uvuOo036AKjkzO1F1jrnLijCb30U1u7Uo5k4o8Wb0jG0JFa59mI8TtLDrJ4P2379xN772w8P42LfuMf6eiblzZPepnm4ec6fH3O2YquLzv/kU/NazzgfgVnGCe0rWWh2tPJT9vtA9q4SBfM83PFtWJlRks2WpsgfgvnjlzF2FaTy6wDQ+mOakd37tdjzkTZ/D52444HTcstAvtcg4LeqOq5onbWGthef8n6/hp99xdRJCQl6a+H7xOGtTAhsQzw963/LM3YDAmQaASaFo5UBMbBt3y/LMGK75RbFtSuaMbaWunUOPLcrGEKiGQ6mECkP5sSLaXe+bGdaCZ2OOvXGXDvY8dq1XEWM9HoWYu3ZXfeEBZKVQ2Dkb7WzMnA2pzmEqYM110CiDtiNj7lTDSR/r2iwOrxJkhwvJ3BkGn+XkvDMTFSXjnFi63dN1yZIrMXc5blnehyqhkMHgdxwtb9wBwEe+aTY6TKAYodmJCmoVNaFidQDMHTeibGWdeMxdNQxkv6Faw/xcvbDmpoxdvXRdGdBYZxt/MvGJju20JVQAQLVCmf6JccrkqSphgPOTcACdNcw7jwl5Y6p0iWqSORsJY8xd0obbGXPnWnKOJ1bRWOBafsyk02ZaNFx52xG0OhGuvt190VUGZXXuikq26ePeVbcdxQ8PLuOaO47h0FIj4/XQs7ntblnN3dvq4As3HsQvvvdbymI+D964I2gxdxwmKZQoMndOnlDBj8MzZmmbGWbc2VbH+td6zF1W5y5lDoE4azc+ZzEDx6trOFeoMGRXcijM3ZgLXnIDnOuwdaPexD9tUij0NY9h05+TwtwVJFSYwLM5lxtZ5k66ZRXjO1tCjDN3ppi7iiHZiECHmqgEUjphvdWVhsh0vYId0/E7Mr/GmTud/TUzWpUgwFm740Bl7mbKgz6Yf/b7B5yfLRl3u2diNxZfheczd24xd7brVLZh2bIAMJW43mlcsCVUuF5jQzEOE7dmH8wdF8g2IaMB6DhGrOYlVAQqC07/kyEsEy4cDJM8PbtGjuFH414lCFjywUYzd+QSZG7ZpAmcuXONfeOSSJSZ7npNrjF3Uhd1SPeqLHNXxLbmGf9RxO5ZmGXuTDHOQDynmmLu3v7lW/DFmw7i/11/f26bCN64S8CnLZtxl81gMaxGDG5ZQDXu1iVzl/5u62Q02drcX9nUbjXmTmeEbOArhclqmi3b7ka5E0Pm/DkxeP2U8doI6HqEHL2surMJFbFxYIph05+TixQKF2zVUWFxMbxUGblqJXOnsWImlyJnizJtqFC/tD/biWooz7veSkunTddD6bKdd2Xu2H0IA4GzdmfdsncdXcEb//O7Stk+gj5oNtpdrDq6PI4lz2/ndNxmvgpfU5g79V5kyo856NxZmXyt71BSBd1T270y9V9DqWCFpZNu2T4C3zsy9sjG3PXmlqVxcLKaVfPKuGVb6oKXDGMXN2mvzB3duzjmjtyyGzv+tbWFPmB2y7pWeKGxPhCMuXM0/Ok+1sJAiqsbjbsuhaUM515la8uW80zpoPeel5BMj91VjPz4f+6WzWbbAkC3m7U11podmdikl5WzwRt3EulNtzJ3+sRgDBJNEyo4M8flUOhlmq1zt6yNuaPVF02OGgvgXKEi/2XhRuMEM+6A/JV7hrnLKb00/jF39hicXtqekULRRIwDg4ixqULFuhbrQ9i3bcJ6bu425IMBMR10eN0tm42hzI+5q+W4Zfk5qf8urbcVKRMSC+dMqV4k2+ZerIZCMncHFtel+/n9X78LH7rmHvzzV2/LtMX0Hqw6DpYkgyGNu4obc6e75606dzklzOSxNCZAry/bUpg7xgQajKb9hv7T7LBqF4Nk7izXrF9n3nv2vz75Pbzwn67CWrMjrzfXLau1n8IUqiWkSXp2y7JsWb5Q3kjQ+XS37LGVpvK+5TGQpuNVWMwd72N3HFnBK/7tG/gCkzwhSIH8asDii7PnpfGoTFmzz91wAE/6iy/jyzdnz8sRJzqo3xXNi0WMN83HxKCrx07HbbpfgsnItLrZ2rJAklChvXNrra70HNjq2uvwxp0B/TB3PKEiDASrL5tl7rhOl20139WMO/2hZ1K7WcwVtQMoXn1zw3WiGipBuHmrqCKdOyXAe4yNu043Uso46eiFddSf6fxqS4mz4MaSboTzwc02AJG0gwmxVEd8fB5zRwHo1K/48+HVKNLv0pg7k3En3bI5bv96JZRuZ17Xc7pewXaKueNuWV3l3ZJQEQYCZybMHQDceSTOwiUGVhcPB8zvgetKOHXLxsZdxcrc5btlrTInbfN1cvDasgCkHueqdMtm3aqA2Wg6dedU5jtztmzvFUDovDZ3a954oX//71ffjWvvOo5r7zqe75bVZDqyzF187/IS2Qh5E2nemJpmywbyfBvvllWNWiC+3tsZawe4G++SuWNeAT4ufur6+3H5LUfwr5ffntlXMq21MNebRP2hDHP3H9fei3uPr+GT1+W7K3kXrlfMzOO1dx3Hf1x7r+zvRTF3NLZyWSICjzPkjJ28d51sbVkgCZHSDO7jK005D7gmV3jjLoGuc8dhY+5MExpPqABglEORzJ1LzF2UjZvgyEpXqG5Z14SKNS2jkjN3eauoDNOT0fiKrL+NGnzCKprge2HuTAKfR5ebStYZQTfCXc538pyduauE3C2rGu6AxS1rGGwKs2UTAzKvsPVENcBEYrxy4dKZegU7plS3LK+Dm4q/cvciHzAD7Jmpy0XSnUlSBbHnpngpE2vO708eMm5ZS8ydbjTockJ2Vi7fjcq/J9diyty1M/vR31Fkzso7bUfWuLPVyO21QHyqp2i55sy9KXZZLzdazC1bnC2bMnfxtkrGYsGiLY+RzotjTrNli0WM3/7lW/C8t12uJHENAlIKRYm5ixSXLFBcJ5fAmbuqIVuW7pWeQQow6ZpqiFqON4meR5nF9P1J+Y0icWpuqNn0X//H+7+F3/rY9fjOPfMAisME6LqmDcwdHxN4JQ7OeromVHBpLm/c9YGMcSdszJ1du4cGkrRKRQtRol9TJuaOXqiJSrbzAHbZBWncOSZUcBYyjrnjgZ85blnduMxxSY1TzN0vve9buPSvL5NGXZ5LFuhtcjMxlUeWG0YmTFYSoQxFh3u1d9uE0eAC9IQKO3OnsGKG+Eo+AJli7mgVnufamayGcnFyRGfuErcsGXf8naLFj00ipBIKCMEyZpO4u7RgvH3xtWM6lWdxZ+7ILRsnVHAXi87w2GLf4t+KDZjCChWhGnMnmTstVhOwxw2dtjPL/KpSKOa/y8CUuMPhytzx8y+ut3OZu1om5i6Ji6pQ3FM67RWxablu2RyjSC6yg0BO7Daj/n1fvws33L+Iyx3FhF1hqi0bG3dq8pHrs+Vi5hUtaQVIn6VpXkzdsmGusD49j2aJDO3752PDp9i4S/+uk8C7xnRTXDQds4iwpnmT69cRuMfEyNzl6Nzpxh1vh3fLlkRuQkVoYe5MzIA2kGybJLdsG7/y79/GJf/7C7jlULxy4jF5NrkB3S2b+b3ILRumxcXzoLtllZi7nH1N2ZUcrkKqxmN3I3zth4dl9YVBodnu4gs3HsRdR1fxvXtjcdW8ZAqgN+auw+JuCCuNtlLGh6CLGNsmHR5jNF2rYNtEdlChc7olVHDjrjxzV7Gw2hw8oeLosiqyTO/afKJzt6YYd/FvqquRGXfJuc9MjDuSd6B7aGIGyOCbrIbS0OWDsI6/++IteMHbr8CxlaYUsCW3LJAaWXni4i3tnbQaMNwtW8jc6TF3CXNnWEzZFlWnGpi7pjbZyb97TKrgFWpMcI254+dfXm/nSqHo8WB6zB3vx3lxcFEUKYkAOmzekG43koZElSVU2BaIazJecrCLX5OIcaeLjFvWNaGiI5MDOHOX7S+msYC+4zJbJqOyiOnVsdbsyPfyyHJ+OTM+V9Fik99zzjiSBmKRW5ZgcsvyMYH3ORlzZwnRiZUr7OOpZ+76wJxF504fwOlzFEX46LfuwdW3H80MJDRBHV9t4gs3HVSMiDJuWZP7ATBl/6gGRcrcubsf6pVAGRDyVnZFMXeu9S1N+OJNB/HKd12DX//QdaX2KwIfOOjaiow7ij3LMwR0mAZXzo4FJrdspyu3M4H3mel6mBHcJlRCIYWo+aBVz4gYMyOknQ04Loq5q8rYlXRHPQtTMe4S9ivW4QtTt2wymHI2hK7VtkAgRoSYu9Qtm0wyecx6NZCulDzm7m+/+ENcf+8C/vhTN8gg9J2M9SMDWs+4Ve6rtkCzGe5ObtlMzJ3K3JncqiaDaaoWYhczUgmmmDugD+Yuyo+hygg8WyZTvt1yo60wQTqqLKar201rEdM7xheueYu2Zqcr34e927JVHGwTMGfdi0SMoyiSfaffhItON8IbPnY9/iEpq2fSuYtj7lTmzjWhgh5BIIQxSYT6mylEg5KkJqv5MXepdI5bf3tggQm4rzZza92qbtmsa1ipI5x4clwX9UVuWe4J4zGhdHz+e4fVljXN+565Kwk+IXFFfSAdSHUDiSaP7923gN/5+Hfxi+/9VmYgIWbl1kPLmY5SlC3Ls3smDCtUQO18cf3W+G9ZocJRCiUVMA4g2Mtra5vp/PFnzQVVoN11YGEdX/3hYWNWEjGcen3dfsEHJBrYlhv5btlON8Kr3vNNPOp/f1EWvi88D5ND4MXMaQLjVH1dPqdsYDwHl9eZqVfk57nJqsIucLcsoVYJ5EJFGnfsPKbJijN3eeXHOLgxCyQxdzKhIl5dkxuD3LKrzQ4a7Y4yIPLyfAQ15i5uD8mhUAky6uumBQ0vw0ZtWGl0cOuhZbzsX6/GFw2ZfgBw+S1H5D0zGXd6hi+PLyXWSRp31goVLm5Z1dCmLD2KGzQtXEzv3baJqtKX5D7cuOOyKL0ydzkGpul7F5f10npLLrJMzB13y3Kj1Mjc5Yxt68xIOcmQWWxbMHNDtBoKuQgxXRuf4PPa4oLv3juPj117L/7m8z9Ao92R916PuVvSFjPOblkWElAJs4s66nsmY5GXi8tL8qPn7BoGQ+5TIHZd8vJwQDymvfCfrsKr332N0tfqhkUpX7hTNRrXPCITc8cX1SELBeDVPahNNW3BQc9E9yIC7uXZvHGXQIg4s/WU7ZOK2wVIGRb9QVM9TSqnxBkAnbm7+UBWc2uiFioUrQ7eGScq5kfFxwt+DFmhInmxF9ZaeMHbr8Br3vctY+YbuZhpAqpy5q6EW9aUbWn7DQB+7YPfxs+96xpccWs23oRiKBbWWs6rFRdwg9OduYvwjduPYrXZsdbJzO4THzsMAhmj0u6YRYEpBoQmDNskx5m66XpFuv33z00obv5qECjPEAC2T1aZ5laWuTMGOLMBKK/8GIfOpkxWQxkzeixxv9JgyKvB6M85dcua3ZXUnu0J+0eTlkyoyHHL1qsBY73a+MR19+LKW4/iPVfdmdkHUBNBdk2nLI6Muctj7jrqKrwbmSUWXCpKUJ+i807lJVTkGFZzk1XjxKG4Yg2GYlmkzF2+m1lu7xBzd3SlKcc9oxQKW0jxPpAyd25uWf5M9xmSl2yMFzfSqiEXMc7eQyXLus+EM5p/ulGijSmZO9W4o/5A9841oYKaHwp1sUqgZ2xyy6oJFcUxd67M3f1atYbDWtzdp65/ANfedRxf+cFhHFxMf5PqE6ytJresO3NnypZlCRWWmDvqfzVFriZ9Jnq1LCApg9eNCo08c8DOCQgB4PLfeRpqlUDJbAHMjAWQWtD6agFgCRXJ5GuKB5iohKiEIpagsOjdyG1tbtlu1lABsjp3Dyys44GFdQALWFxrZ1zPkrlLtndNqNBJiLy6mqbB7Z5jMQt217EsG8bjsw4srkv3W7/g7aABZrHIuOukdQJdizinyS2JLlRLc3NynTu9/JhloOcxdpy52z83gVUWf1KtiAyrdubuaamtR5OuYuhapAlSgyK7wHBh7urVUBqv1KWJleNJRUvrbXNChZKcwNyyWok9kuygCd00+XLmjtqw3GhLl6tLPIvRLaszd0a3rComG0AdV1xCGFJDOz7WlJ5QYahQwY81W69gqdHGtsl0YQDEhk+z3bXG3PXM3BXE3PWSbEJirkC+W7bdUWOXzMydo3E3mxp31VCg1ckGvRP4QnG6lpbeM10bP4drKS8beB9strspc6e5ZemeT9XCmDEvydzx8mNKjCdj3TrdSLnP5Kqd4G7ZvJg7V+ZuQTXujmrz7J1Kzen0mGTY8rF8VXHLkqHs1g6Tzp1i3LH5tMJiMIUg5k5zyyb91hR2s9bqYKXZzmTh6/DMHcOO6ZrRAjeVXQLSyWN+NWu4pW5Zc0wUAASCxYcYOjp/120xd9wAbBlWqTUD49cwiEemzJ3qzgXyM5f0GJmyzJ3U7jHEslF8FhC7bwcFnsVKk9ZygXHXbHclW+BKi0t1ciZLwkvOVEwxd4bashw6c3f+vlkAwENP3a7E48V1R9V+e+auKTnIpMxd/vPpdLtyxW56D8zGndpXuVs2bXu8jdrPukoAO03GbYPrJwziTNn4+On5Gu1urluWZ7OnLs22dMNwI8bEcFNdWYKtcgy/r/Re8nfYZOy0CxZC8XHVGJ0Mc2dgUvgCkPrI3KTqlt2XxJQN2i1L5y5SA9C318Hbwo27KYM7rMriV3m7pRQKz5bNMaj45LyPxdydlLB4NuOOJ4Dt3VbPTaThrsB+mTveB1tsMVqzMnfxvSvL3FWCgDF32UWM3hb+ebIW5DN3JStU6MydnjHLf+dtTY07ztxl3bKuxt2MSefOklCh6NwZnhGXQtluMu6aXSf5Jm/cOcDO3MUPgKt9E3S3LOExZ+2Uf5++a0pObrcdXsZL/uXr+OR198nfVebO5pblK3Ue66Hq3HGYXqo1GXMXd3phod4z59dj7vJ07gyDG7XFpI2kMndrWG22cdWtR/rOKlPjzMgtmxSzNwSZA+qL6pqtJCdiVl+yxYK0FbesllBhc2PpCRWvffq5+M9ffQJe+/RzFVHseABWn/0Zu1Lmjg5fNKHEJclUVyCHyS3L+1wgYkNNZ1hoEVXT3P889jMtuJ41QEPDvQPiiarBjDvdQKOJLE6oIOauI90wakJB9t7smtbicR2YOylnxO6ByZDmCzyb61Z3kWcSKgzuYIW5S8ajbRNVRZZib8JMWZm7Ht+5YuYuf3FoOv8hZtyZFr085s7klq304JY9ibll92+LJWRsCRWHEvff7EQFE9VQsqwmQ5Kfo9+YO94HuV6kni3blsadWRjfBhoHgiCrJQio7deNO5Nb1mQc0/zhbtypi37duLtPMe7SY9J7w9u5ZsyWTY9lypgmTJncsjyhwhRz143kOMzH6i7zPphCJ9aabSf5Jm/cOSAwFWFE2jGOG92yqhQK4aGnzOGzv/Fk/MevPB775yblQ/3Et+/DNXccw7uuvENuq8TcWd2y6d+88+oVKjhML9W6ZtzFxyhOxihk7nJcTRGjn00xddyVfWChgb/4zM146b9+A/92xR2ZbcvApAVGrpRTDPIQgPqiurplTcwdv/dGnbvk2CZNrFoYKEzFTL2CahjgkafvQDUMFMOvZnDLnrV7GvSVqUIFBxcpzRUxNjF3bCEyUQ0hhMjoNM4YjLtWp6vEfqb1K9kCgVzdrC0qc9dR7rHe13kR+RkWc0duGF33SseuGTVrkq7fKeaOxYeZBL1dKlnoyS16+TGTFAp/xo88YwcA4BHJ/089fw+mayEed3a86LTp3PUqhWKK7VSvRz2ujSnh18XDYEw6d9ztpTJ3gfJ7fFyDq7QZJ9jQmCgEcMkZO1CrBHjYaSlDbmO8SIx472xdOZ/tXIR+K/jwYzXaaV1TvUJFNubONVuW+l6gGCgERdBY6y88uzlPCqUlmTtHt2yGuVPn4geYx0dh7hLWnr+3K4ZsWd4fTXMpYabALRuyBQUZes12N5XL0p5RM8+4Y/W58+Bj7hxgZe4Sw+S4wS1LLgCduTtlxyQefNI2+ZkU/sntyFdfSnaPi1vWGHNnMO5y9Pk4Q1irBFhtdgrKj2ntydGtymTSdlM9qBXNLdvtRsp9PbCwhmvuPA5Aj6MoD3NCRfwyn7p9Etcn6uQc/EV1dst2+WCYjQMLFJ07dRVtmgiqoVAMGT2EgPe1aphNqDhj1xRufiBO7CmadGthgFano0i3hIZFjm7c8VADIDW8sm7ZuO2VQECIOBaPM3f1qllCgrtlCbyPr7e6CqPSaHczxh8dn+sAkhuGG4OmZ7BTY+6kW1YXMTbEMk4qzJ3BJeVQrUGPuSP3timhgiYzfpxff8a5eP0zzpNM1L+84hI02l185vsPJPuYr981LsvWXpv7M1uHN8I9x1bxrivvwMsfdwbO2TOjXIsOY4UKVlqqaWTu1IlUxy+971u44tYj+OWnniPPceqOKXzjjc/AdL2C3/jIdQDy3LIxe0S1n/OkUAbJ3Cnxe52uNBarlUC+Y90oXazRO+iqc8cTwdKFF1sA5Lllmc5dPYc0KCOFEkWRjLmbm6xiYa2FI0t2tyy/v1OSuUu/WzO4Zfkzq1UCwKKTvG2iikoglPevmLnrot3N9kmuczc7UZXPTv4epYlpefDMnQNsVQCoYxwzuWWrFHOnTsCnaPVAaYLRM/0AnbkbnFvW5E7gtLl+jFydu0yMnd0tq09efFDR3VoLay3l+u+bX5dlc0wu3DLgAwe1gWjuvdvqKSvC7sVaK33x8wR71fMkxh0rQcRXtHkxd6ZVfLWixq7NaMad7pbVY+7O2DUtXcGm8mMctJjosIyu0OCC1d2ycbB1+t2kNO7MzB2X3Wkw6Yp6JWRyC1n2t2IwIIG4bzcV5k59VmlCRagkVMiYO0u2KEF3y9p17rJtniiIudMnNNP5s9my6STV0RKzTG7ZMBCKi1EIkQS5Z8XOB5FQ0TEk7ijXY9C5+5UPXIt3X3knfuzvrzC2hVAJhJFN4R4HxS0bZpk70z3+wcFYeunq248CSPvwjukaapWAaaRZ3LKJgSGZOwpvMcbcqXFy/WBNc8vyKhm0MOP3ka7L9dnSWB/f9ywbmeuW5Tp3lpi7KEo1CV3uxfHVlpyDH3rqHAA1W7bV6arMIvubWMs1JeaOMXdrbUWKDDDPpYTpegV/9pMPwW8/+3w85JS5zPHMMXeRck9pE16hgpdu5NCNWBO8cecAu3GXk1ARkls2y9yZtkuPyeNu0p6lr1B58WuKKzK5ZfXgdsDmlk3dYXrbct2yesxdiYSKhiXeAVCTKQDgW3cdk+1wjXmzQZX/iI9FbrnZiap8ZlO1UN5nLszpXIuxk07E0oBh+xrdskl7TG7ZahjIfhAGIjPYzOS4ZXcnNVhpkDeVH+OgZ9/u5pcf05k7nkkHpIscW0IFAGUlz7NZTfUrTW3h92GtpblltWelihinOncUY2Njrgi68K+NlTFVqCiKudMNGJPrltokde6YW3K12VbfNwNzZ8p4Brh8SJbVNrXNFcVu2ex9+/59MbusZH8azm9yyQJp5mGbubfCINVm4++dycgmFpZEsfWFiSy5V8Dc7U2Yu1R+yB4OE7c3+/uN9y/i6X99Gf75q7cZz8Whh47QpVVCIRd1fCxPmbtynohAmJk7tc6sei1pQoXduOOPwqW/cVaOjDvuln1Ai8drKsydKaFC7W+NdjfL3FlQCQRe8ujT8Nqnnye348dWpVDSd41XK+IyVTI2uBIY+3lRNQ7AG3dOKGLu9Ji7KnuZZjXm7tTtakxXRWM+uMHDO5Zu3Omih4BNCqWfmLvsgK+jOObOvHLS26uzcXrnnWfsaL+ad3yQ1WPutk1UZJxDHAwtkvYx5s7RuKSVeiVMY1T4QBoYyo+1ktWc6Z7XmHE3XQtltiiB9zU9oYKEft2Zu3jf4vJjmnEnhNKnadVpS6gA0kGTB8DXKkwbkGeeahUa9GPrWc/6xMUHTWrDkeWGvEYbc0XYOW2OudNhco8qUihG405jvY3MXcoGA2q26FqzYzTO+LlMrnUgyxzH7RkAcycXETa3rD2Mg8P0LGwKAjzYn54/Hy8V5s6kPScX7fGYo0+usuqPZZF3KBNzlzI1Ovi4p/8eRRGe+7bLcfuRFfz5Z242nst2LD5eVcOUFTIZOK4JFZxl4jF3klxgz1KP41MSKiweIRcRbw4y7qZqoXTf84SKezSxeX5/pwwJFXr1oYW1lhpzl5NQERqMN3oegVCT5/i4xqv/cJmqNHwkNGrcFtXRBbxx54Q85q7d6WY00ngnyFQU0BIs9MmBu+3yEir4BEqbtQ1uWWNChcE4WWc0sLyOSnZ1pkPPRszo3HX59WgsihLvoDF3OSuTMiXAGu0Orrz1SEYmgJAad/FAHmvHxc9oshbKwH0lq8o1ADm53mqYrnT5ipY/QyVrlLlUOKqhwGk7YyPtjF1ZzT9e8USvUEH7UV8uKuieZhzmx9yRe4agu2WpP+kMMld054ZFkxt3hsVFqpKvTtZ0SgqEJugMAsWO1SoBppPJjQLgqQ0E073JumXNY4OJuZssYO70Z54fc5dl7laaHaPumGLcWdrLJ9zUE5B9T8qiiLnLlB/rRkrGOgWOm8Ygk4AxoLplm4ypJQiNJVHb0820VTci6xrLrkNn7mRChSnmLscte9VtR43Ht8HGQlWYW5Y/x7IixnyRx8cWkzadHrpiTKho2/u7i1uWjLuTt09id5LodGylKcere47pxl322ludVPdPJxgWdeMuj7nTqgMB6TXrC+CKgbmrhLxPcsmmwFidyht3A4Jttbve6siamABwdiKyy5MfuGjjKdsnM2yLbtyRECtgLnRM4AakXr8xEOng7+qWNdVqNKW76ygqH6TGZOTE3LVUg43csqbV0prjYAQA//iV2/Cyf/0G/u5LtxjbIXXuGlm37EQ1SN2yisvDVeeOVrqpi9HG3PHrbLSzEwwQP48nnLML73n1o/HPr7gk87tSoaIiFMPr1CTWk/pykVgoDWTFMXf6wBUopXaI9bAlVPBj8BipeoW5ZQ2ufW5ACiFkP19c05k7fUGRrIgroWwDv9U8gcRkYGfcsjbmzhD7purcZY+ti5Kang139QOqkRy7ZbNMualkmw41azm+B/zd7lUKpVPQz0zu7L1MMJikLFoGrU2bgkDVxARbhOn198y0cMsad9m6pIRmuyuzeYm5C8Mc487ilo2iCH/z+R/Iz3p8rQlrTYtxxzxJLcXAKZdQQfNMxrgzyJfo9WVpkZXnllXemW5WxkgH3efdMzVp3HVYIp7O3DUN1w6kxIZOMCyut5SxgV+z3ieU+GkqSZg8W907x+dV8qAEQiilIfkil87Fz+mNuwHBttpdb3cUl+wjTo/lBfSBhNg6Pd7OtC2Qvmx52bJ66jSQdl7eCU2rDdMqvNG2G3d5Lz+9j7a4kjydu4al9AuQumXP2zeTOadJ8NgGWr3dcnA5bRN3HyTG9JKMuUvdspPV0Khj1lOFiiB7L0MDwwWo6vIc1TCu+3vpg/ZmEnMAYKbOsmVZyTMg7XuBxljYGBUpIFwQc6cbNwHTRwTsblkuHcClEXjMncmdpcecyfMk909n7jIJFYy5s02YtI1u0AiBTJUUF+aO2lw25s4sKk3XH1/vpBJz1zEuXPgi0SbrpDPHuku4X+bOqnNnMO54ySV6f03GpZW5M0ih1KsW4057z0wLN505SZm7bJv4pEvGHWVKmgx6W/mxK289im/fPS8/rzbbhcbOqsXFWAvTRaqJuXN9tvzd42OBzPDXsmW/c888/vhTN+LQ0rrcZqISZOKLCS3FuC0u/SWzgcMAu2fTRReVCrz7mCqTwu8vj/mlZ25K6uMJgzzESQ+34gacXrVGH6t4ObpOJx1baWzmOnf1SijHjZPmJqSH4rBPqBgM7MxdVxEwfvJ5uwGoauZA6po1TcimyYFo8ryECtUtm6ycDKvUHVNVPOeifXjUGTvk+U2DEgWUczdyzYG5owHHVE0AKEioYO3IumXjznv6zqnMi1QmW5YGgEXGsHa0CXCt1ZEDyexEhTF3aczdei/MHS/XI5k7ZtwpzF36fJudrjEWLs8tQG0nVMNA0UI6WTJ38ee0/Jj52abMXcSuw5SZmB24TJmsuTF33I3W4VIlWbbBlC0LgDF3mnGnu2VZzJ3NODDJ0XziV5+Aj/6Px+NUTQfRHnPH4tVoYmPny2PlbJ/j46oxdzXGcK42O8b3zVSyTQe/jla7m3GL9czcGeKxODKuaCbVAaR1u40xdwVuWVvMHZD2H93gWm9mz6PHPMmYO4Nblrv49YQKk6tRibljbXnv1+9MroUm/GKGbd3K3KVuWX6MqZIJFTwkQGXuusr/QEx8/OVnb8a7rrwD72X1midroTUhpcgLpIOz2DunaqDhlDJJM25Zdn/1WFUgK8e1uNZWYsr5+DujG3dsbCTmmFhZfYyQzHJXrTOuJFRQzB1j7nZO1+TfPqFiQMiLuSMKeKZewY897GT81Yseirf+9MOV7Uh64Jw92Tgp0+SwLjMm0+/0yVFRtE62kxURWCcUQuBfXvEofPxXnpCKbxpeZqK4d04z484h5o5eSG4McJgyHQl8xagbbNSeXTM17NeKdpfJlqUBYIFN+vrEy4PwZycqeGTCwD7klLm0MDxn7hxXuqkUShr/xuMdQ0vMXaPVMU4EeQG9gOq6qVYELjx5m/z88NO2x+fUmDvb6piMpdhFl7TXFHNnzJbNJjvkuWWtzB3L2CXobsn0PMTcFSRUMLevjbmjRRLvJxeevA2PPnNnZltb9mnH0OYJA9uunDenuou+H79+WV+20VbLQVHMXTJBCWEvpZhh7nTx5x6Yu4iVuooic8UNE3PHz0UTtMkYnqyan5/JLauHp1QsBpfRLZth7uyxahRvN11LpXbyde6y5cfum1/Dl246CAD4lURrD0ChcC0PbVFj7tJSfYprMnk3u5FbAgP1Iz1pip4hv5frra6Mm76D6ZJOsqooeQkVpt918IVeJQywcypm70gO5V7NLduyMHc2If3F9VZaTUiodsBsPY+5U+cM3X6oMuaOFtkVllDR7qrVRWhs2zFVw2Tyrpu0dXVsShFjIUQdwB8DeAWAHQCuB/AHURR9aRjn0x9OIOIXYr2VumV3TFcRBgIvftRpmf3f9OMX4Ss3HzL+pgvNArxKgVvMXUeLubO5ivLcCfI6pnhRdIdsWUaNA9nBOk/xX3XLajF3ycCwa7qOk+Ym8UPmVi2TLdsyGHd6oPiiYtxV8aJLTsUTz92Fk7ZN4FPfvT8+Jxv0nRXdKaEiEGgF+cxdXZtcTRNBtWJ+rmnbmXEXBNg+VcNX33BpUr0iNtpT6j/ezvZs1Zi7xKAy9CudQbMlVOjM84yNuVOyZbOuM1vmrpW5yxgp6YrYVEcaMJeAq1qMOD2hRG8nPw43EkzVWnR2S+8DUWTOXJ6qhVhYa8UJFTlSKDYPBJCt8atv2YsUit6F290INe256Qx1PLGl3xFz14sUSqsTKW54DltChVvMndk4AbLJFACMixR5PkOFig9cfRe6UezW/clHnoq3fflWALHBtitzBPOxVhs8WzaQlWl47KJq4HSt8aMEHnur95f4d8bctToyjvm+46l71DWhArDHaeq/0zy1e6aOoytNHFluYr3VybBbSkJFlTN38fcZt+xqS2Er+UJOL05girmTYVK6W5bp3KnMXfw7D/upV0PpSdq3rY7JWryRS8nbTWncAXgPgBcC+D8AbgXwKgCfEUI8NYqirw/6ZDpLMFOvYHG9rbhluVGk4/x9s7LAuw4TG5Myd8y4q9iZu04SBE4vi41NsK04G+2OLL3CFfhdyo/RyiPVRbPHDWVi7lrc8IsLXdM5jyQJFbtnajhJc3O3u+q2eaCJdX4tfdHbSsxdR2bKAqmBtH8udmPSveRJHHnM4aGldXzyuvvwEw8/JU2oCANUw0iej8Afk15j1TSZFl2vWqEi7rN6Vq3OIpjigABzzJ25/JjJLWti7oqlUGK3bDoZmxJ60sWEmblbKHLLMibHatzRZJU8P13KgMP2rpmqoKgJFVnGSh+wdWOP78LPS8dda6kxd7qIsc0DAWSZO/16e2HuTIZbLXEW3XV0JXEjqxfd7arPm4LijdmyLlIozA1v2iaTUGFYOOp9N08K5XDilt0zm45ZPMZKhyqFEi9uPvLNewAAP/uY05XyU7rbUAc3Cla0hAqZLdtJv+euyUa7C03lJwOeNW9i7pSKJq10XOX1XfMSKrLMdRFzp853u2dr+MHBOB6N6vvajs8XBjTf6gRDnFBBrLe6aM3G3DG3rL7g1cdIJmrN5WXoGfE+Ua8EeM1TzkYlEPj5J52Fb955LHNdNmw6404I8RgAPwPgN6Mo+j/Jd+8D8H0AfwHgKYM+pz7QzU5UsbjeRqOdumXzjLs8mGJgJHMXmTsjoE5ul99yGH/4f2+QsX622CxbrAjXkNvOmbucFSqBxkYaPHk8G3fLAPkxd0Dcqecm4+NI5m6mjsectQsf/da9eNK5u3HFrUcy2+aBBgAqS1WvhBnmjlaYgbCLRa856ty9/cu34n1fvwv3HV9jAb8CLSpTxaVQ2AStuGVzsmXzwFfitlV4IFTjziqFosTc2ZkfndEKtBWurFCh15Y1SKHwclG1MLTUr0zjGDkkc2dIqDi81MDNBxbxxHN2Kzp60xbmhyaVlmQs7ffdxGbGbeYMWtY1qE/0eS5Y0zFNAthNrd/QdfAJxAadidGfdS/Gnb5uoLY12h38+NuvxEqjjec9dL+2TRfNdnrufmPuipg7/TmYqs9Y3bLGmDu1OgU/V3H5sQj3HF+VCQE/9chTVKmbRr7HgBsnfLyqBoFRxJgf2+X58kUCf8fpHvJntN7uSgOTM2iTvBpKgfRPoXGnaV5SlvWhpXUcXl7PbM8XS+QZaHcjadBzXbpuFMfcdS2u6Ixxp+jc6ck72sKCBKDZ+xqyhAr+7GqVAOfsmcFfvuhhAOzajiZsxpi7FwFoAfhX+iKKonUA/wbgSUKI/bYde4U+KNKDXW91mTszW+DXBSa3rJG5y8mW/a2PXY/lRhu3HY5jG8q6ZXkhbs7cUeWAvKLheW5ZUzwNhz6g0EvWbHclA7NruoYXXXIqvv7Gp+PNL7gos20R+KS5YKgX2Gh35aA5XatkpGpkzJ2m/m4DxZccWWmy+LA089PmluVabc222S1bFHNXr6SrYtu2UueuoCwUT5DJY+54IDBdhykLWM9W5IYod8uaRIyNCRXagEnH16VQ1ltdvP7D1+EV/3YNPnvDAeX6KmGQK/JtSlDSYfuNxzTSo6yyMnSZ8AUDg5rJnrUkRtS5cafo3KkGvI19BNRxyMQcmxZ4H/vWPXjLZ24yxtLF5zW3f2GthYW1FtrdKFMnutPNvrOL6y2j8Wsz7riOmKxVrD1n08IByNYIBvJ07kxu2dio2MfcslXLuQDdLdtV2MDtkzXUK2mma5G+Jx+jOHNXraTvpGrcceaueDzlgru837e0fgbEYT6mMSzPLZspv1fkltWSi8igPrzUkNmks/WKHIO4S5ov5Om+0bMg1jXOlk23pznORAIoxl3FPIfIz0ziibOh6XNWmTsOm/yPCZvRuHsEgJujKFrWvr8GgADwcH0HIcR83j8Ac3kn1OUDUuOuI92y23tk7oxSKIZsWT3mLo/Fsf1mW3GSgSoEFDeAU21ZcssaEiqymbM6c6e2gwYvHiy6K9Ev2j83qaw0XZMq+GRH8Vj8u2YnLVZvmixML1wec3dgIR7cG600KDbOLqOYO7NbVgihDHpmt2x+zB2QZjvb2FudRbAxd1XmZu9og2heu/i1AulgVE+Kl9PfihuDMcTcuMstP6a1JY+5I4P75gNLme1NSRVpDFH+def9lgaZM6aWSVJkWAqDoZCXPRgqxl36XudVqHBl7jjjJY+l6cy1O138wSe+j3/56u24xuIqyjJ38RfcgNHd6J1uN2M03Xtszcgs2dyy/FpWG6muIYfNVdqvzp1eVxZIs8xNblmduVNKSFbiRAga9/KYu243Uhada0pCRSDnMFOFCqAcc6eHXkj3P+t7Jh22WmKousfc5beJzktjCRllhxYb8jnsma0zbc/0eIEQUl5svdVBFEVSSuakJCRncb2l6tAlfWaiGuayc6YkM46UWdZEjI1uWbXv2RY0JmxG424/gAcM39N3Jw/6hPoAThNCuxvJzJyd070Zd6YJm4wH3tmrQaB0EqX6gKM8g+2lOpYYU9snq+o5KrQCLmbu6NiKWygTIG6OfyKsSho/HRi4Wj0PgnWtUsEnO3I/t5TYkG5aGsfw4tDAwVf0pI1nwoEk5qbRToPbqyGTQrG4ZQFeszKNneIrN5cYw9c85Sw8+swdeFIiy6ODl7gBsuwKoLpdOgUxd3q7eA1PINVnjIWG4+91g4pLI0hdMmYAmpTrrdmyhoQKyobm/Yr661Q9+8ypDS3GvNpQlC3L351Yu8/M4pgrVtiZbz4mpeEWqoQOHbPo+QHqONR0kEI5ttqU3917XNUTS89vZu744oiSmfjiUB9v7jm+2pNbFgCWm+rxCWkJqAi3H17G73/ie7jl4JLRuMvo3PHSfFq7pFt2myHmroi566iLOroOEqrOG/N0d/KKrfwYM9KntISKItCYEQR6zJ0axgCYpTooW5zH83LWV+8vRdmy+qKFklgOLa1L5m7PbJ0JOHPmTsjkhPWkHjUdb39ynDhbNr1mekcmqmHG42bSubN/To1NOmcguFuWGXcaqWOTbzJh08XcAZgEYFLwW2e/K4iiaHveAYvYO525m2GB6wcW4oGtZ7dsTkIF7/jUuaQxxfbbM1vH3UzTp6xb1pYUImMjDOrwBGpizTARZ5i7nAoVQLqKPb4StycQqu4eH8zd3bJZlkCXQiGj0hTPYHLLUtt1inyl0ZZiyI1WV76YlTBApZPGGxF0u6BeDYH1thJzN1ULFTarCK95yjl4zVPOsf7uwtyFTIi43Y0UCQQTMsYdMyL4PZ2ohlhvdTOJDKbyY/VKkIrRGkrYZdyyyQp3ResXa82OnOCPMOFPehd4hQeCdDNp2Xgm2J6JSR6Cu8f0hY6JOckagHxhwGLumFtbZzm7DsY5kDDHYRDL0XS6qGWYO7NUEaBqu3HodaepHfy9p3eyXglkOEIEdb97j6/1bNyRfIjNLdvpRnj3lXfig9+4G812Fw8+KZv4ZnPL0rWk2Y9dWVmHV9ng59KhVqiIFIOGnjEZYXrfVo5j6PdA/Mx5uTV+/GktoaIIPMaNx9q2ktAN/rhNzB09Lz15ZyIIlePz4+q46YFFbJ+qYv/cJFvoxccjtvT4aksmceyZrSM8mGVpBXOtrre6yv0j6bK4tmz8HZdCmagEmXnbRrzov/H28pAXnlDB+8SJ5pZdA2DK65lgvw8U+kTCmQdaqe3ombmzu2XlpJp0Dr5tRVtpFx0TYMadFjOWyrlodTMdmDsyQKtyNZYNJJefM9myultWzVqaqlWUOKEqq7/n7JZl50yNO+a6apd3ywJm4/IAm+RiF1nC3HG3LLv3urGkTNLJfeRxMS7MXREyCRWGZxsEqhFoqwqRtou5ZYUabM3DCSipQjfuqF/qAfB0Pq5WbyuFpoctEI6tNuWkc5QZJDULiwikGYV5EjAEm6uzYxB2jcvQZRlu02d9X0Bj7tg95olSplg+W5yiDlPWsjyONtEeY8wMhSLosAXIc+aOtiHjvBNFmfHsyHLDHHNnc8uymCcy7qwJFd1IJlQdX2kaQy5sbllANYqOrqR9jQvZ56kOmLJlqb0U/0t9dDVH504fn4i5o/4p3bLMSOfX5RJzx12UPNZWdycDFuMuOZ9eapGQLV2pMbjHVvG8t12On/rHq9DtpuLqNP5wV/iN9y8m301kSi4C8fOfYDF3vLoHGXeLa22jFEpcUtTsauXtKfrM6xiHLOmFP0vdxbvVEyoeQOya1UHf3T/oE+pz6raJ7ITQa7asaeWvJ1RQ5+QPmv+tD0hW465qjrk7ZtC44+fIi8foaFIoigutIKGiob28lCVEIsH6hC2EkHE2rlUq2ibmjrtl2x1pTOYxd/rK1pRVd3CBG3cpi0Iim/p+2YzPILPvtKFMVz9wETEOWdp/q1Mcc8eNBl6NA1CzZOl5zmiuUBrsFJ27UI3L0+N6dKPKVEMZUN1DfMKRzF1OzJ0sH5fnlrVWqCAXZNpveHA8v+/LjbZxAZVXp1nJllWYu6wrlBZgBbadIiadcctq/f+oC3Nnef9NLBFP4KHrJqHY9VbHeH+s5cfYMyEmPSOFwtgTuralRls+L6pVCmTHIZW5S99nLr+xhzF3euA+B/8uloPKemZkzF3OmKfPARRrSPdCT6ggeZ+axZtjgu4G5WNEVt80O67w+FsC71dFSTy3HlpGNwIeWIjLmemLTq4teMuhOCRfdcuqMXcTLOaOZ6iSaP7SeqpzJ5g3o87KUqbHS/+2LSQIXPcwrdeb2hkkbM0NfMJWN+6+A+DBQgi96Ohjk/+vH/QJ9bJLptX+MKRQ0hiH+HveafjfuqFRyNxl3LLZ6hT8OLnMnV5+THHL6sydFnOnMYgUMMyLu+sgdq2fbFkloaLdlSKWpsnCXp0ke09U5q4rjdtKKJR6l0A8GOgvrippER9/UmHuihMqikBdIxW+Nhh3gZB9XpFCsQr5qoyy4patcePOzNwZK1SwhAqAaWlZWCgbc3eUGXRHmaFXl20xxNxphdDzGFN9BU+gSeEwO//O6VpGmPndV96Bh7zpc/jgN+6W29EArr8v1pg7FuCvL6j4xFvE3HFGoahChZNb1jLhm9gxYh/5+MFVCehZcAmKSYNLPb4O5pa1xNylzF3KUi6vt6WxddbuNI45w9yxvsbHMLoP9UqgEAA0rqwlgfsEvRoHF3DmfX+6Vp65o8/UT/SECuoLdYcFPG8vkGZd8/nBpcKFzS2rH5+gu2l5ol2bMXdkLM3UK/Je07F4QoVq3EFh7niyCmU6dyNIrb44mzWNGdSZOj6WF0mhSKO4rTJ3ekKFKZN/qydUfBxAFcAv0hdJxYpXA7gyiqKhM3d6XblaGMjC7GWRF3MnVyYi3y27ptVDtM1FpWPuHMqPEStA2/IyQ7rhkGHu9ISKZGAl5k4PJgWYcefoluVtlwkVrB3dCFhuxN+b4hlsE7tpglKMu1ZHKZVlquSggyvf07PnGYGDdMuS3WBk7hj7pqwurTF36fc8qwxQja66zbiTsZ2qW9akpZUKl7oxd9ygW2aTIzEjppg7XcQ4P1s2n7k7nEhjzNQrmK5XpDuZ7vtVtx1FFAFfu+Ww3Jf6eF62uZItW7Uzd3E8VDezjwl52do6y86ZuwMlmTvTwsj0/EiZn5fj28VCR2wsBn9ey5K5C43bkCA6EPcPGlf2bpvAY87aid0zNaWMn34sPoZRhua+bRPKZE/PM4rUa9fHMO7e5O861YDNjbnTjqXXNZXsVVslDHgyDoBERPlupWQYIcPcKfcwO47okG5ZK3NnduMTuB5rm42RvAIEd83SZ1NtXyEEJpkYNTeOT2IM4DEW/00Li7nJqrKos2XDEvTxQ86rXf5uIpNQkUduuKBUQoUQ4oeI9eTeG0XRgaLth4Eoir4hhPgYgL9MNO1uA/BzAM5AXKli4Chi7v6/H7tQkRApA551M10LsdLsZJi7NObOvDrQY9cesMTAFEmhZGLupBSK/cUlBkhnWWqBsGbLyXZr7SBqnK5HF74F0gHC2S3LJphFg84dkA4apskir66wDqtbNghQCdVz6kk6QPrSN1rpio4zS4Mw7qRbUCtZp2/DK1nYhIMJ3AirBGpRcT5AUbbcTM3G3EXy2ddClbm7+vajuOLWI5Id0WPuTAsBADLAnUOItL/qlTK4a9hFxNj2TKiP6dmTPEsTSGPCDrNkj5S5sy+OTNILa61OpuQXd6vnlR/j19LsRFkGMMPcpe09vNRAu5MtX5Vh7kgKxRDSYGIpJHPH4ld3TNdw59E4eczmluUuTWJkstmyaf/mxt06S676yGseh1YnyuxrdcsmhrxuYPC42dVmW07QevYrr4XL+9W0ZXsO22KXDB96XRo6c1dJF1YA8Mnv3Iff/Y/v4SGnzOFTr3uSciw9MUdh7iyVbjhMMXfcuLMxvYR5lgnf7KQsNR8L9s5OyP4BJMyd5palYUwyd82OdIVOVAOj5JYQAi+65FQ8sLCGFz7yVPyAySrpYRumqj3qZwoJYO+mK3PH5igBIM+kLjtbtAC8BcDdQohPCiGeL4QYBfv3SgB/l/z/NsRM3nOjKLpyGCfTB8WpWkr/XvqgPXj5Y0/v+dh8BbAv8fWnMXfJ+Q0JFXluWdOqi++ju0PJxbIzE3OXDcLVQe80b08arJ/P3OmuAOrUjRzmju57ntYchylbNrMiTL43TRa2gHkXtywP+NUHANNxaaDlBcD5xFAkYuyCUEuoMDF3nH2jTDhbmwF1gRIGKnPHV5q0KNo2qRp3SswdZ+7Y9f7Zp2/Gv199N66+/Vi8jy6FYolHNDEKtTCNZeHG854kzkqP79PPZWq7DjKI9Qlfz5YlNnGJ1Tc2uSjjzywZx8DcrRp00HgMWyFzx1x0GbesLoXCmLtuZJa+sGXLmpk7k3FHzF1qcPMxypY5yMdJ2Z8ybEpqmNCxuVt2shoq2pO2tpqYu71auUQ+ISt6mZrHhRua/Bw0BuTp3NnCVOg69Zg7+pzG3MX7UyLC9+5bwLxWnD5j3LExopWjqECYKGDudAMxy9wxtyxjpPnYumebnblLywnGn2W2bLsjn8tUraISJ+0063jftgn87594CB5x+g5VIUBn5orcsky/ky+80oSK1NDUMbSYuyiKLgLwBADvBfA0AP8XwD1CiD8VQtj1FwaMKIrWoyh6QxRF+6Momoii6DFRFH1xWOfL0q4Cb33Jw/Hbzz4f//KKSzKxU2XAOwkFctqyZRXNMy0VnYNPFBy2gteyhJqFucuj3NPasmmnk7pHuouowC1LA9R6HnPnsIpVzlmQUAGkjJ6uZwWUY+4OsIBqnrkYJ1SoxzFVC6BBj0/S3OAcTMxdeowui6fTt6kwI6TIONBdFCYRYwB41RPPxFPO34MXXXKasn+dTTDU1+qVUDEmH1hQk+B1Nr1eYtDj7xExd2EgsD2RM0rdssTc5bhlbbVlk3t2aFGVxtA1z5a1d5UvBEzJEel50zbRu2eqPdpyEKEm1HPcspmECs2YM7lms9IW8TFM747JiDIxdydvj8NfhLDLT5nYVH2hyJk78kw0O10pgp3n/uJi1HyhfGiRDPkJZftJAxMEqIs4IB4fWybmru7A3FmNOy3mLjFWKtqcQtfBiYFr7zquHIvmo9Qtm/ZTU4UVHUbjjtW6zYYh5LllI2PYhF72bcdUTTJ1dDy6F5y5ozF3shrCpEShD318m0x5MT0Ex5Ytq72btPCm+XvKEDLC+1KR2VFa5y6KoqsBXC2EeD2AnwbwCwDeCOD3hBBfRVwW7D+iKDJp0W1KmHzqT3vwXgAn9X1s6gi1MJAxbw1N5y4wxNzlueh+7WlmO9tU8Hq9la5a9MHSJeZOlh9j8gM2VqjT7eLuo6t491V34OWPO8MqYkzfm1cuFWXbIvABw6Rzx7/nIskEO3OX75ZtsSw815g7ut4lVmVBYe4scWVlwM/biSKjOyUMBEJjRpeLW1aNleOM2pPP24Mnn7cnsz/1sxUeE6cFLesLDN3QtSVUmMANQckmTlSUxA4ArDZwnlvWfE+kW1bGYenMXWLcaUHysQtf3YZQFHNneidana4iYZEH7mbLloKyM3eAOami66BzJ6/B0LfVhIp439N2TuIvXvgQhEEgq9dkr8OwcLK8fzHrlLaH3ONFemL1SoDVZkdzy5qZO75A489IN8jaLEuZj6eSucsZ81atbtkk5k5LqNCZO/qeG3ffvPM4nnHBPvlZT6iQZd6YXFIeSDTYLoWi9TmNDcy4ZVlMM4Eb1rtnaopkC91beg1ktmy7y+S3Qo256yrXTODXoM8RGYFjq1tW1aCUC4bknKYFxoTmls1DzyLGURStAng3gHcLIc4H8EcAfhbAUwH8vRDi/QDeGkXR3b2eY1yQTWXun0EhPPikWQQCePhp2+WDk8ydJcYBMK90/9fzLsCDT9qGx5y103guU8wdXw1ZY+5yMqlktixrm0nAFYg7879dcTve+/W7sLzeturcrTtky7q4ZaNIZabmpVvWEnNXy95TW7yV7gpvd7pKZiSQTtzVMMhM1Kb4JxrEFxmbo8bc9d/v+CDVsQzKYZBm9/JsWRe3rK5e7yK6Sf2Ms1hxhQr79WZlZNwNXz4wn7V7GgBw9p6ZjOvKxKLY2q4jZe5UNifD3DWyzF1Fm4wIaswdM+6S+68fC0gmEIt8jA5V5y4/hMLFuLNJueRly3KQgPl6q6PUsP7pR+eHwZBsBb9/OrNLz63TVQ1Zci8XLRZS444zd1kBY0B3y6bPSDfuulE6NhuZu0Ybx1aa+NoPD+NZF+5T4kVNNXGBdK6SBk5b7QucuWu2u7j3eBqv9k2trJwenkHvUctSLhGIFzUUd0r3QRHMztG509lAxS2rsF7pveLMHT0HMmx15k66ZZupzt1UvaK8J9K408ZrXbhd/c1szMnPLBFFekWYW5ZgChNS3LIFi7W+gniEEKEQ4icBvBUxixcB+AqAqwG8FsBNQogX9HOOcYBNYXoQOG/fLL7+xmfg/b/4GDmgyJg7bcXNJ1HTRD83WcWTzttt1UMzZcvyQVqPuXOpLauXH+PfmaQciCU7stwwVKhIdO7ILWuKuSuRUKEPFguWhAoeZ6PDNebuyHK2UDYxUXpJLvpOB73MnLnjq7eB6NyxAaEbWdyyQi00TgSMi1u2EugixsVGl2TuuHhnJcjXl9Nj7rS+kjc5c0PiSefuxgd/6bH4p5c/MhO2UGTUAoZMOE3v8bDG5nDmrtONMv24GvKya5pb1hJzl7rzs8Zds1PsVtePY5K24JNwtxvJUA66NyYh465u3OUyd/aYu/VWRz4T16SibAUT8/vX7qhVIWg8LIpt0mPVOt20FKWeUBEEQvZHbtCZxjD6TsmWraXeij//zE34jY98B+++8g5lP1tCBfUlMhwkcxfqzF0Hdx9bVRJyvnvvvFFwmuaj1EjJ6twRztg1Lf/m99RUCjPjxm/rxp3qljWVIuSs6R4tzpXX+gbSMWKtlbplp6qh8p6QG1tfjOfNxZlqKDmsH93fMBDQp3STcce/K1rq9zRbCCEeLIT4KwD3AfgPAI8C8NcAzo+i6JlRFD0PwIMB/ADAX/ZyjnFChnYdIHMHxKnz9UooY8xktqw2KOuTqI6iyd9U8JoG6UCk0gPp9sVuWXqn+bmlJplBykFqSjXaitsSMLll82Luio07U9yQTRA1PnaWyHaNuTPFHNG9qYYi02dMx6Vr48XUBy2Forhlu1HGIAVU9o33FRe3LE/GqIVBoUFB25m+KyNBojN3vGxd3vmEEHjCObuxd3YiI9rtonOn/5YmQ8RsBkmGpMxd6pIxxchV2T2zMXeVQNXVspVeo/MUudX1a2kUSKHMs7JM5+2bBWCJuTOEZQAW5s4ohVKR7XEpBadei7rdBSdtM/7e7kYZIwIoNu7q2lh9bCVd3OluWUA10Agmg8yUKUnZsivNNn5wMBbn1RURbOMhzRl0O9IxN8hcB7lkU73DCNffMy+Ppcdu0jFanWyNXcKZu1K9wAnDQpUb1nqf0/sPZ+6aHZ6wxpm7CfY3ZajT9cTb06vDvUBpQkUomUUgHf90kkypymMI2+LQxzE+dtHx9UQ0wDz/KW7Zgleh1GwhhPgFIcSVAG4A8D8RCwa/GMCpURT9XhRFt9G2URTdijiTdcMSLYYFnZLNk0boB3ULc6fHRwBAGAaZIE/T6td0fC5vQSvVucmqtZO2OhG+f98C7p/PVnaT5cfYPSE3kP6yctHOpfW2XPVSIDutnlK3rCHmroRb1pQIsrDWssaH9MPc2UowxccIMkyCKf6JYv4W11i2LHO9DFLnDogznY1SKEyws+lg3PFVbCUQOH/fDAIBXKDpg9lgWpTUSrpldaZOX6hw2JIvdNFuF527bOxfKqLK5U2yzF03k0wBxLFWdExbzJ1+7XmLunYPzF1cXzabDEECvFwY+sL98TM2xtxZpC1cpVBm6jzmrhxzx+/JeXtncDozMgCVQTVJPRXpieleEMqKBoB9mlsWYFUqcmLugNRta9K5W210ZC3zTMUcG3OXvMe2bFl+HXcmxt3Zu2dw7t64RsAnrrtPVnZpa8ydNJA7dp07K3NnCPnJqCmwsand6SrhKnq8GoGzpsTcEWupZ8sSmbLWSqVQ6F7LxW1LvV96+4Fsn8yKGOuev/TzOju+PicY3bIlmLuyMXfvBHAAwJ8DeGcURXcWbH8jgPeXPMfYQR/cB83cEYqYO8XPnzAkXV6YvGDgMxW8nrdkysbHSwfA5//9FThz1xQue8PTlG1k+TGFuVPdWoRWpytXG0vrbfn39qkajiw3ZfYYdXjTyqWUW9ZguCystayaTOYKFeZ7qq+6aXLbPlVV3AdA3H86kb5AcHPLDjNblset6NtQzB2fiG3hCMoqNhQ4e88Mrvq9Z0ijvQhG5q6kWzbL3NmHNtsiSHcVSZ27nHbo7xwZme1OJAPsAcYisCB0U4xcNQhkn9Njjmyxc3mLumanmxlHbDDFUE1Ww6SyQvw+V0OhCBhfsD9h7gyLG5tOny7FZLqGWhgwVqkD4iFcjTu+HU8KIKSskzlerCiGkwtHA2kyRS0MjP2eV6kgpBpqkKEPqVs2fVbE3DU7XXmeTLkxSyYt9TdietMKFZpbtt3F7Ylxd+buKeyaqePWQ8v48DfvwcevvRf//PJLJPNK985F5+6U7ZMIROzFmChyy1piNAE1Djn+jSWfsHu1faoq4/mkW1arUEGvwYQkClIRY5pfKtr4l0fwFDN3duOvwbKX9eMYs2WVOXGwMXc/BeC0KIr+wMGwQxRF10RR9OqS5xg75AVTDhI6c8eDLfXz6q4ZoNgtW9OMOyBV4Nbj7YBs1s+dR1czgdVdrbYskA7i+cxdS7aBsnRTt2zC3PXpljXFgcyvtqzxIeYKFeYXSE8GuS9hNflKNT1GkDmOMaGinnWvTQ9a544dohOZV9zcRcB/tzJ3vLZscl0nzU04xdsB5n5br8SFtG32iD5glmLuHI07F1dgpgxaJWXuKJliqhZKFoozRkbjLgzSZBZLhQpbTWITuM5dYUIFi7ElVyUP2m/KMSM27rZNVHBKIk1ycDErjqDr3EkpFAfmrhoKJQaZzu069nLD+pkX7M38rkihmNyyhcydmpxGz3rPbN0ojTXFxq1uN/aE0CKOi+Kv5cTcAakRmI1X7irnIcjaslqbssxdB3cciV2+Z+2ewa889Rw8+8J9mKgGaHcjXHHrEcaUxceQWoHdrtUbsm2yIst5caF/k1vWJp0DIKO512LeJ/4OCiFw8Skxm3zxKXMAkKktmzJ3Sf9i5cfouevx5vqrw8cEfSzK6tzZF/a00AmCbEKFyZM0OSy3bBRFn4yiyE2DYgshj1YdJGzZsnotP/ouE+RZyNylHYMGJYq5224w7kzGxIo2IZlEjF1j7shAonOnOnfdpL35btmbHljEp66/H1EUIYoi/Ovlt+NT16fV50yDdq5btg+du9sPx6veC06azWyrJxkAZp27ogBa3djuBbpbVg/ap7aZmEW7W9Yef+ICm1sWsIdAFDN35Y07GXNGUihOMXdmt2y7G0kZlL1swue1ZU1u2UqYGtY25iszmRiuh26PUqGiTEJFsg/P1qb7Qczdrpm6FF5fbrQzxqpunOYyd9pEVqsE8l62OpEsSViruPUvzkg/4vQdmd9DxqCamLvimDvNLZsYt3tmzfIsaU3sNv7xslvx/L+/An/9+R8CUPuqqRauqf6xPv7Q2KlXSqL+lk0K1Ji7Thd3HokzZc/ePY3Tdk7hHa98FJ6ZsJ6NtlpNAUhFjHnZNP29nKlX8eYfvwivesKZeNqDUiPb5JbV2T9u+B3XvCFKXVbtHXzvzz8Gn//Np+CRyXOneZK2p3eRzyXSLZt8R+Of1LnLcctmpVDMhrT8nc0FnEkdtVv2hEQR7Too0IBBK9s0EDr+XRWLLRd7w48PpJ2W6PwZwwBiOt5yo624cDs5zJ0pW5auqRsBS8lkoDN3abas3dhZbbbxC+/5Ju5fWMee2Tpm6hX87/++CdVQ4JkX7MNkLVQmR3INLKy1rAkV/VSouPNobNydu3dGnksew+CWNTF3kwadPb5qH3hCRZRKoYSBYGrpZne0S0LFwIy7MJ1AsrUPDOyVxtzN5rhli7LJibVqOcXcWdyy3S4OG0RtlZg7G3MXpsfgoM8uMjCT1biUYatrjk3KuxZeKYT3P8ncJXIhO6drsqoHfc9ZqAxzl7TDjbkLlPe/LHPHYbpummC5kcBR2rjT9Ax18ISK27QKQryvkpFWszB3BJvSwNxkVUm20GvLElLmLr7O4ystmRRz1p7U+8AZyo42H6WVFvhioKIkhM3UK3jMWTvx7ItUTdiadv+AfLfswpo6CvAMXT18Y3aiKjOt+bWmMXfx97zMHwkHE1PNk4vifew2QDbhssAta1igmLJlTWRDvRKkbvxBMncnKoapc8eRZe6S8wt1lQXEnU23D4rcdqayOTSB5U2wHJnVuUEKpdVRj01oay4QGvt3aMwdbZNXW+/IchP3J4PYDw4s4bbDy/KcMgCYGXE7E4M0jrlzT6iwxdzxCarTjXB3Us/wrN3TGaO0EgSZFz5PCkVpE88wG3hCReqy42LDPOaOw2bo8mffC6ut3xteHqyiTHJ2l0SGudMYDL69LZ5KdxWZsvF06GOBZO5YzB3PnpSq/ha3LM8wzjDfJWLuqN+oCRVuYRsNVn6ML/rSUI74unZO15T+qRttGRFzWaHCIeauEhjlbFyNu9c85WzUwgAf/+XHG3+ne2yTEDFpXnKo8YC8zFw2mSI+XrIobXVkRRwC76smKRQTc6eHhdDYqTPWxCzrr2WaLRv//8ODS/K3M1loCQ9VyDB30nUZKSw3Hw9siyyzFIraL1S3rHrPmrwsYsF8nK0tm7hl2ThNFVdoDpDGHSU85EihZGPyC9yyloWzi1tWCJHqBQ445u6ExDB17jgkc9dSmTuTW7YSZGUmCpk71lmo0+atiM/YNYVnX7gPTz0/rSrA3bIRW5mba8vqzF03s+IEUrdsM9HXymPuSK6ETxz3Hl/FvcfTTF4y7rhxuWs6nmAX84w7E3MXml84nul2//yaNAjO2j2d1TliwrQEV+OOB2dzVqRX2KRQeN8wpeXr+3LkyQK4QDdabcbixSfPyb8PaTFe+j3XJ7ndjGGyxtxpriKbMcWRkUJhMXcHDcwdj/WyuWW5yCmHjYEzXU/q0uyyQPiimLt0EqSJUIm5092y0zVlAtKzP23ZvuZsWc0tGwbG8oOuxt3vP/cC3PDHz8Gjztxp/J36rK1sl2tCBY1nBxfNGncEPm5kjLuJfONuohJmFjO26j76okbWlrXE3NG7Rs90tl7B7pnUM1M3GXdaDHi7o0rV8D5hG7NMpTCzCXjpZ90ty0Wbi/p11riLv+fzC5U33JVcu55QkZFCYefU7YFsHWPd+DMvnE017E2gPlY01Hq3rAPy0qAHCZpgKb7E9jLFbcq+sOWYu4Qly4krEkLgHa98FADg/D/4DJod1ZXEB2++/+9/4nu4+OQ5XLBflcLQmTsCL3u22urI6zeKGBsMoHuPrylJCLQK426tGVan0qbJ5CKFMjtRwRprI5CW7AkDgdN2TiUTQzoYVcMAmofKEnOXfR13TdfwB8+9ACvNdkbOoRfoblnKyJzUjLtpw6A8LLesibWRx2YD4YUnb8M1iWq+Xms2Y9xNqu0/eW5CSpPYFkG6FIqMIyqhc5e6ZVMGmTN3PJ7O5pZN4/LS+NRf+fdrJbtSFG8YBoLFz0XSA1BUfoyzKTSx8oQeuh+UULFzuqZMkHocmM24MzF3+jPR3bJyuxJjb54hSOyTnbkr55al2GVbSTQeTrKgGXecHaX2cNddEAhMJW52gk0KRY+5k8ydxfuk951z980oCSGczaXHSX2YV1uhsbaSJMLQ62kaRwBLzF1OQsWCllDBn1uRNJmsUNFRyRI+v9C1nb17RjmmLh1DyHfLmuMb89rL9UEJprkOAN72s4/A9+5bwK/9c/777I07B+hG1LDcsnyVFEUpqxJoqywg7gyZIM8C5q6SZB92I+6WpUDl/H2n6yGaq5pxF3HjLj32Dw8u44cHl/HjhhgKU7ULzk6tNTvS5WCLJdKRMe5WiLlLz0WDTKNlz+wyTSb6Czc7UcGhpYYykVG83ak7JlENA2OR8m7BCw+YMt3ijOhfesrZxvb2AkUKpRNJo5O3ORBCZkFyuLhlBxFzV9MYasKe2ToetG8WPzi4hFc+/kxlHyEE6pVA9mududs/N4nr710AUCJbVsb02K/J5pbtdCNjHBZn7vTkJCB+5tx1CwBfuukgLr/lCDun3Rimc1SZ1Iczc8cMwqZk7rJxb9y4C4O0lJRuKGWMu+SYLjp3tUpgfE6meKVeoAun63AWMabEtOSe6PW55fFYtqwu63HLoWX5N8VA17VnPFWvKGNcJqGiRcydOqVLnbsC5o5w7p4Z5TM9A85wSmkuxr5JWZIgQFBNj22bV9ykUJhbVjOIFeOukLmL/6eFrF5+jOPM3fECmgw0a8xdjls2DIQib5MpP2YKeQmz87lNbeChp27HQ0/djl8z/sqOWfC7B7LZOMOOuQNopaQzd4wKDrMyEUUuCyHiFf16qysHpTRWIv+aZiYqOL7aUiYkHu8dCAHd26m/kDbZAZ6pu9Jo5zJ3phX1PcdXFbV/cjFwWp9Wx412N6MfBsSDmMkwyTJ38eDNY16IuaM6pabgcP3emGvLZhmYQYOflz8L7gILA4HtU1VMVAOFZXFxyw4k5s5S2mf7VBWf/LUn4shyA6ftzLKYE9VQDsZ6rM/+7alrtGjCaUi3bPJu5Cx8dCaJ+myr05Viv9wlTIxRuxvJhCIOlbmLOw3JNBB0V6Kpv6XB7qx+ZcE7zhMq6Nr1hIooimQIxElJpuxENTbu+mHu9AVRLIViYtIH4zWpSLesWR+uSMaHGz1cYNekOgCkAuUmt+wTz92NG+5fBJDeG/2dmK6FOMw+Ux9ttrtYWGtJIzWTLWtj7mRChXqe8/apxh31b25MSeOOMcxSliQUqCbRXrM5YSRuMXd2tyx/B1xj7vSECv0Z75mty/G9qi2w8ipU6H0yrm0cpNVACmLy4jaZ3LJuUlI2eOPOAZlgyiHF3PEJttHqZgJG+URi6gwutUfrlTA27pJBhApJFxmG5J5ZYqvOLmPuTBO/7n5od7tG424ny75dWm/L687LluWYX20p8UvSLcteZspEbbQ7mUkHsLthQu2+UEwLn6DIuKNAZJObTDeeTV1Ib8Mw+hkf5DmDwg3pUMSM4cnbJ6XEC+DmljW5m4ug99u6sipO/94+GQfwmww7fb9ZjbnjTKQ1oYLFnAGQlQtya8vqq21ZCqwtDXrumkqZu7RCRSUQqRZdmFYzoe90hu8+rVKMfv/i/pYYmd3sItGGmoGJ4e9bs9PFAwvrkr0/Pyk9NlkLsbjezjJ3UZa5B8zVFGphVp/NxNwNKiSGnoPJLetSNo+8DcdXWwoTZxPupvt4dKUpn+uf/9RDcO/xNfz8k87COy+/XQnd0BcUesgG3cOffefV+N69C5Jpzbpl4+Pol6Pr3BGoMgVB1i1mRrB0y8qYO66lmGp6zuRlrGs6coBZ9P6bdx7DHYdXMjp36wpz5+iW1Sps6PPL2bvTRJKiGGk+NpuMyxoz7vR9dWYPiMcIV7esK7xx5wB+0wPR2wTmAr56XWdGiCz3orm/9HYUlR/j28iVn2NZH2JCOIvAB29TPI8eJ+Hilj3G9snLltXBBwZiTGSFAeYq5XUqOaYsx9Vf8m0sdo9wp8bc6YxjJRSItNwl04CkD+DDYIjVotiMudNi7oDYIHIx7vTyY2VR0QY7W0JFUcULfg2T1RC1SjzAhoFQ9McK3bIdjbnLjd0yu1L4IojHrXEWoZHIV+zfPoF7jq0l5+IJFfH5dYbvpx55ivLZJAAs64O2VbmbPPA4qCYL1yC3a7PdVeL+aDFD76TOyGXcbDKhIjsG8LAOOm+QxA7yfjowt2xyrabcKpPHQMfOJEHr+GpTxtsBaea/Dlq48VjRx569Cz+TjBnVIFDGxgxzp2XMNhIW9dq7jivf6+EIdp27+Pj6wuC8vapOp8ktW5HGXdLHuqkYejUUMnY8LwHMxS3b6nTxsnd+wzhncKO8yOukXztNVaHWv85mEjD6/dfntyBJOut0I7PUDmuTaZHOmb16JcBDTpnDZ753QNmmKO6zCMOhoLYY+MMbVl1ZQHPLtrLio2pCRVb00CWTTC+bI2Puipi75EXl7k9eOzIQAn/yExfjxx92sjQEdebOFrw8XaukWVvL6UBpzpYt7vDSLUuZwIFQSruZdO4mLMe1uWVpsGt1urgncVOlbtksA6fHbZkWCGEglIm6SLqiF3D2plFg3J08p8bd2VbIXH+xKGjfBF6oG9Ddsoy5KzDu+L3jMVsz9Yoy6bnGAbU15tyl7WQYcNcbX4HzmDsy2k7dnjKRNeaWpfefGL5nXrAXX33Dpfjzn3qo0oaKxjRx6R1eYs415q7Z6RqlLZrtLm5JCtefuXtafk99R3cX67Vl20kpNLq/yn3RroHu6UTGcB3MO5Fn6LqMMeRtOLbcVFilIuaOG8C8RJ7ex2raZ33h1+lGRve2nbkzM1F8rJqoBplY21ollXAh0LF4ubrULZsmwrgYd40ct+xKs2M07ABzDKAN+u/8XvD+dRZn7nRPi2FcIwPOZrzltY/PB48+cycmqiH0rm3LlnWFN+4cwCfEYWXKAurktM5EI/WXidrEO41NviJ7DjUQ2DXmjow71S2b/h4GAq943Bl4288+QhoFeuCwLXi5XgnkQMeLrZukEGphoLgYTtqW1ZU6IrNlU1dXytx15Pf8ftoYQf0ll8xdMtjde3xNTp62mLsKC5In2G73oGvJ6uDjEHfL8usnw/NkbaB3ccv2Wr1FMe54QoUSc2dmRQjcQK1X0tqkM/WKEoNnc8um2bJR8j8tDvLfed5GE3PHn2koWblUCuWUHel95rI5dP7lRlqm6oxd00bjVL9nMtuv02Xis27MXUsx7oRi9N1yKGbuzmexWdK40xZvJuaOT+Y8HEOvrakbjoRBGXd571ZRMgWQSmYsNdpSlmeias7wBcwuNi5bUiRrZdK6O655RqqhwBlaRj1dp61CBR+rztkzY03SM8W4peEDXSlQXQmENJhchMTz3LLHV0zy5TFU5i6/T+jhCNxQ44b8WbvTPp2pKGToLrK0m6EvVS1jWPpd+vsTzt0Vn0M7iUs/zIM37hwQBKlg8LCSKYAsc5cW/I6/yzJ36b6uRqfulk1FjPM7EgXHrlikUHhbqEaq1FDLcReHQTwRESNG8hFANsgaiJkSWtHsnqnjQYZyX9Ity9gHed2MueMvti2+QWfPZqVbNj4G1WOshYE0hrLB4UGm39gmWr5aG4pb1sLc1bWYOwA4ebtqOLu4ZfUYRVfUNNZNHpvd/+059WIBtZ/VGXM3O1FRYvCszJ1N567gOXDXF5eHIJhj7iLJgnO2JO4rgdwGSIXD82KY+PPj9Wnbnd4qVKS6ZWkMVavTxQ8T5u5c5r5L3bL5zF2nGykLil3cuAvVGGJqi/4uDWpxnceKu9RE5u7X25OwDJtLFkj1OQlTtVAZz3UDRf9M4wK3U44x4+cfX/ZIfPyXnyCTXAhS584SQ8bfGT3ejv/OxwoyjqRbthMpIQw0rtpkUIA0G7jJ+oPO3OnGK5A+f85auurcEfg95M+aM3d6mTvTu8Or6GR+U0JLsn2Ne7WedO7u+BysYUK4hQfkwRt3jpBxBkNKpgDszJ0pbV13y7qyPJmYu3Y55k7JluUxd6yDT2sDWd5gSS/IrCNzB6RG2Vm7p3AqYz3IDXBspRlXX+BxILyMDpXKYQadrY2ZmLvEwGi2Y+P7rqQyxak7J42uDjqGzv7YJlpucA4joYKfVzHutGxZABkXjW0MVcri9eCWBdS+rSZUUEiCKAwwVpm7UA6OWebO1S3rFo8q6+AGWYY2EDC62tssoYL34SpzT9LCi1jAmbrduK1pCz+u2eccc8euv2lwyzZaXdyayHZw5o7X6OTIMnddZVJWmTvVLUvt18eAQbHZeQaBi3HHDVOqjpPHLOt91xYbRzBlywLAfuap4FUbHnn6DjzstO3W6gj6aymT9FjfPINVpiCYFkJ0zKpkobtKCMNzH7If++cm8PyHnpzZVz+uKeaOboWeIQukjCmVW4vbk/9+6oyYwtwlzzoMBE5niVpZ5s7OzpkWCrqyRR4uSsTZef+frIaK3mAv8MadI2RSwxCZOz6wxzF39nPrbtgi5i3djgZqVcS4WOcucctamDs+qesuhLwVCK3MTcadibkD0hfyjF3TOHVH+kI+9NT4JWl3IyyupzVkK6FQjFqa7PjK0mY4mESMCY12F3cfi427M9jAoF9vzE66MndZI2uQEKxsHTfudBFjIOuWtQ02A3HLWpg7Mpa2T9UKBzuFuasyt+xESeOuEweruy586Pq5jAlhqlZR2m2Kuds9W5fn5skQOnOX5+bi70qF9bdWJ3J3y1bI8IxkNn0tDKThePex1UymLMCqLyRjClWu6ei1cTsqc0dJCdS2IresEIN7J/L6qYs7bG6yKttyW5J0lMcs68fU9eiKmLtnXrgPO6dreMmjT5PfcWaLDGyd2ZQGiCXmjp/ntB1ZbUvTvKDv22qn5ccqQYDnXHQSvv7GZ+BZF+7L7KsfV3HLJuMy3Ss+vzztQXtw6YP24KKTY2H8UlIolmsH0sIBp+2YtIqnA1njmG9jGh/yRI4z7Ut+5wZkv5mygDfunKFnCA0LvARZV3On6FIovDO4ZMrG26V6b4DqusyDyS1rk0Ipw9xJ11nd4Ja1XBNNcmftnsZpO9MB6WGnbZd/H1luyjiQaqBmy1IW7RQz7lxj7mYZe7Le6uCexLjjqz7OgsWZoNnyY7bEAz3IfBigwU7Nls26ZXUXjw3cLdtrJjnvf/z+kcujyCULqP2sxuIsZ+oVTNcq8hnYAub5+9XS5B3yQH3EFPdq0y5ca3Xk/Z+pV+T1xQxWyroBaUJFXoC6cs9CllDRcU+o4M+ApC+qlZQF/H6ixcYzZYHUsFxrdnH74WU87i1fwl9/7gfQY+HbWhIAL3NVDYXCgBAbPKG5m/tlMwi2soKAW0JFEAgpWHx7wmbumM4x7rRj2vToCLpb8Mnn7cG1/+uZeNUTzpTf8UQOan8QqGMN75vK+TS5HQA4e4/BLWsYg3QplFZXLT/mAlOFCuqnugt7pl7Bu1/9GLzn1Y+R/Vxxy5bMluUfJ5P+xV2yQNZrkueWNWfLqky6jpOTsfV1Tz/XuF2/mbKAl0JxhqzvOkS3LBBPUKvNDhptFghtkEKJFa3T/Xp1y8qMUsds2WWLiDEfc6c05i5vJUwvKxlsZNzVK/aB/LVPOxf/ed19ePElp+L+hXX5/UNPmZN/H11uKHEgdJ7VZltKbkw5DOi2mDsgnqCJuTtNMe6yK0Ay8NoFEy2PuRsWSxwEAtAEpblhlJbncRtg+hUxBooTKooyZYH0vlcTtXcecxcEAr/2tHPxnXvm8WhLvVG+cm8yd2bR5CFjb8IsQ6vHHdH94TE3M/UKtk9VcWipgVoljXFr6zF3edmH2j3jcXLS3VXwbLghRa5gHq964/0LANRMWUCNubvi1iM4uNjAp757P17wMNUtFxt3nLlLjbvYMGbXY2Du8iqFlIVusE/XK7HIeqfrHMi+c7qGI8tNycAO0i2r6/4B8RjC7we5LSuBUONUwwDtblLGLLlOW7bsw0/bjieduxsz9QoewRbHBJP3JCtizMuPuc2P5GniY5AshVizj7lSfJonVDjq3BH4vLJ9Mn5m5+1TY7fdsmWTcAzDNfP30TS3vv8XH4tv3XkML7okZWJ1t2y/8MadI9I4gyEbd47MXaiJGLsIGAMpDZ1my7qtuMjVumIpP5bH3NXzYu7kBJyKggL5TOSPPmQ/fvQh+5N2B1If67x9s5ibrGJhrRWLhbLJmY63ynT6uPuYRI512KRQANW4O91i3Olil0UT7eSQ3bJAuliwihiX7OJFq1QXuLhli0ATEb0nNIFSoPtvPut85zY0GcNb9M7z7EF9MWBj7ni81Ey9gkvO2IlbDi3j4lPmcO/xuE/pUijOCRVBwFiVSI4jRYb3HlZJg7OWdF8oC/18rYoBd8uSUdhki1N5zE5XCQXYocXccYNLJlRwRtJxjHNB1pgSmJmo4NhK0xoOooMbp0A+uzyljS/bLJIl6Wfzs+JzALll9YVprRJkatTasmXDQODff/Gx1nabjMwMc6eUH3Nk7gwxd5K50+aLGSUhiVji+PqEKF60ZA219O9ff8Z52L99Aj//xLOUbYp07oD03preK67HaBoTz9kzg3M0plTN4u3fNPPGnSPSDj1kt6w0vrISBrzDBYEqYuxs3DHmLopSUeGiLDRaPS07xdxpbtmctnF2RdnHceWyY7qGv3nJw7C03sa5e2ewa6YWG3fLDXltXHtpmen08Xbqq0WC/mLu3VaX4pXfvuu4dA+cziQIuDHL+0s1CLCORLXc5pZVmIohuWUDk1uWGZUlXV/DNO4oHICLENtAhgDd/1972rnYMVXDSx97ulMb+HWstzqsNqSbO5PLmBB0445+51IpM/UK/vQnLsb/fNb52DNbx0e/eQ+AeNLsdiPZZ3PLOWnPQNEgk4vE/P60aybt2/K4FZEZWx60b5vymSdU0PjAGUMCZ+4qgVBck1lPBDF3+QxIrzBJj1TCAMdWmqWYO478bNlyblmbIRsEaS1fWiDo7VXjvYi5U4/j+p4aY+60GHCeLes6P5p07lods3HH5wZyV5OIvMsYmREgZp8vPHkb/ujkizL7ZCoKGS6LYkZN9YTVTGi3e8K7t01Uvwy8cecIfbUyLPCYO53l4XEYlUDPli1v3PHBt2hVTGzceisWrKyEgQyc5m0EshNaHnPXr3EHAD/5iFPl37un67j98AqOLDfTRBTmouNkAneB2gQj9RdzdqKC8/fN4qYHFvH/vvuA/N7G3PH+wgc+l4SKYS0kZNKOtbZs2uY9s3UlycUEbtD0bNyFZuPuF598NqphgJ9/0lmm3RQQ40L3/2GnbVfiMMu0gZdbKno36BnzhCiC3q9MUjHT9dhtTAYsHaPTjbDKjMx85k7tN1ySRXoACh5NGAjsmanjwGIa6sDj9wjPvkgNlOc6d8uMuTOJGFOfm6iGCsNfCYTC3FEf4MzdIDVG9XGcX2evxl1e6ECtEihhGdsmdHe92p68a60ntXxJCkUfb3n2Oo1fttqyRTB5UEjXjQtlS507V7esIeaODER97OfeErpPpJnqMkbqTXIRWs/okhru1x8+/0J85eZD+MlHnpr5TV3wut0Tn1AxIoTMUBgmOHOXDsrkllVddr2IK9ctlRpcY+6AtASZrfxYOeZOjblLv++ta1Kq/NGVhiJlYTrelIMUiv5iVoMAD0uycq+49QiAWG+PT+LKRKsENxczXDzJY2huWQNzV7e4ZU0i0ToUiZ4BSKHwvnzu3hn8yU9cnAl4NoEMVFcWWwfvI7zMXhE7QGNCJcgyd3rmuD5+1CtBpr0803VZY/hc2s618mIGLWGLHcaIfdtUhrTKsmWB+Hk8WNOW5BUqViRzF+Uyd/VKoGSMUngFQVaoUJi7QcbcaUxZGEjjLM+I5uDZvkBx6ABn77Ju2SyTaAONmfPSLau216Sxls0YdTTCcqRQ5AKC69w5jll0L+LFC2VXR8pvhBlDzJ2tbqsJ+rW7DFH6dZjiv8/dO4NfesrZxvdSiYF1vCeDTqjwxp0jaLUybLcsj7nTxUdP3TGJp54fp4Sfsn1ScWO4TmgpHd5Bq83cL45uWSB1bdrcsvqqI1fnTou5c9knD9K4W25Kmr/C6h1ycJ07a7Yse+EoUJ/YILr+03eqEgKmhApAHTCsxh13yw6JJQ60mLtKIDIuf8Kbfjx2WTztQXusx1NWqT2+Hzbmrgx05q4s+HXwMntF7zwPrNafqx7LeZ4Wr2aaGGhC7nS7sjoFUFCIvaJOJjVpILpnywLAXs2Y15m75z90f2ai4wkVlFzQ7JiYu9S4m6iGuOjkObzg4Sfjl596DqbrFSNzNzGk9yGbnRrgtU87F89/6H680MDEmLAr45bNT/qZyjHudOYu71qpf1N8sj7emqojZGLuSrpPOVJproR9U5KP3J4RzSedbiTjA2VChS4bM6EuAjhc+kSezp0NWeaucBetXXxR34Nx592yGweuZTVMKMydVn4sCATe+/OPkdsGPTF3qVuWawzpqfc6OBtHbAJ3cfKxSU+o0DvqRDWQsWp2t2yPzF2ymj663JQivFbmzkHnziSs+rBTtyvbcJcskJdQwQwoywDDV2y9Zp4WgZrRYKtfpZQda9slZ+zAN37/GRkXFIfCTg4g5q5X4+z8pGqCSWm/bBu4jlahzh3Tu8pmYar96pGn78AjT9+Ob989D8BssNHx2p1Iic3TMyw5bMxdm+vcOUxqWeZO4PtJliwAozAtxauut1Jh5jjz1FShIn3vw0Dg737mEfL3wPCuDSvmzuQGfcK5u/GEpFqAC7Ju2XzmLmb34xCHTLasHnOX0+fonsiEipyYu6LaskUwvYt6cmG7w92ybsfl17+03sZUrYKONeYu3Va/Ly7jTab8mEM3ckmocN3fdUz0btkRgZ7PRmbLpsydeVuT6GcRFL23Em5ZzjBQ0LRafizHLasZaruYO4OMWZ25s9X/LAJpZx1ZaTBhTWEcpHg7XSpU0D06f9+Mck1Z484cN+diBKlSKMPpazJbtpXeH10gm2PftonctgzCLavq3PV23c+4YC8+8/on460veXhP+/PrWOEiqUVuWWLugqwUih5zJ0QsyUKgCiccPF6O3jVbHyaoVTDUChUdxwoVALBvNsvc8cWayXDm2bKc8WxoFSta3W7qljW8bzpLDqixoAPNls0kMJTvtzpzVyTXw42WIhHj3Ji75J6Q4a+78KoVk3GnHsPV4MgTMaZ72I3SMmKuSWCcjVtajxlIMhAndLesIVs2/Vx8Hb0wd9mEipLGncE1XgTVLds/7+aNO0fQAxoWm0LgUiW08LWleveWUEExdx0l5qpo/3olVd+Xxp1NCiVToULTvauFcqAbNHNHq+f51VYqYhwGxsmEu0CtFSoMq+BKGODik1NNvdN0465qfrHLJlQMK+aO+hPPJubtLHveYWbLloEQAhfs39azSz8WnI7/Xm2UccvSZGeqUJFty9MfvDe/HSxQncug5An46gsKJZOxBKuyz+CW/aMfuxAX7t+Gf/u5R5nPbUiooM8cnLkzvd+m7H9VmHq4MXdlsXPGXQoFUPtCJlu2RHv0e5dJYHNwyzpny2YYrDT+jC8o5CLE8RnxxfziukoW6Jmis4pbVncvFz83VwH5fvfh0LPXXZAX2tQLvHHnCClivEHMXaOVTajItIl9XVYKpVmSuRNCZOrLdi3Mnc5W6IZVLQzkC1uzGHd5GbZ5oJdirdlhIsY25q5YxJi/5Hxy4VmYuW5Zhbkzx7VxTG5otmwac6dkvJYcyFyM1iLUB2Dc9QshUsaLM3dFIQ9ptmxxhQo6z4d+6XE4Zfsk/uKFD8kejzF3Sw4CxkA2FCA9Rja8Iw97NbdsLQzw2LN34dOvfzKecYG5nBQt1JrtLhbX0xhB3bhrdSLJ5uW5++i8gH2h1C8yUii9GHfMDTs7USk0NJSEigK3rEtChTyu7pZlLKQUMe4xW1YIYTVUuIF2fCV+7q7z40Q17aPEQNJ8lEmoqNu9GW7ZsrqhVtw+U43oMuDjvus9yVOc6AU+5s4RG1Z+jLlNiwKhe3LL2mLuHDrgTL2ChbWWXKXxeOl85k5zOVRi4+7QUkO2Rx/senXN0cDAyztVrNmyxeXHlJg7dgyqYwuoGneAphlncDUBdgOKu8CGpnOnlR+rhGrB+7IlxCYqodTecs001KFmy/Y/sPWKehig2e5qzF3+c6B3RxfiBbIhCoTHn7MLV/7e042/0fseRcBiUsmiyLjT62JSX1XLqPXA3Dm4K/m7Q/IcgBq3CMQJIutts9wFAKMo+7DcspnA/B6OzUWYXSqoDCyhQhtPM25ZE3PXY7YsEI/FNFfw8Yy7Vin+r4zRODtRwfHVlnTL0nyXK4WiG3cubtkcnTsbdIZwI7wZ/NJ69T5weOPOETThDXL1aIISK0Mrbge3rHNCBXP7tljAs8sgThPM8rop5i7dLiuFklVQn0leWCk8q+lA9dq5ucFGRmg1FMbjqSLG7jF3APCkc3djx1QVJ2+fzMQp2XXuil94pULFMMuPgRl3QdAX+1arBPjzFz4E9x1fw4O0Mj6u4IPpqJg7ee6GFnNXlFDBpCFcmLsi8PORUK3ObOvQEypoYcBj7lyMdpNbtgi8z/IF3zoL+wDi5I485s6UvMQNmUG6ZQfB3FXDANsmKlhcb+cKGBPICBYiK0hdKqFCG0+zOndZz0GvzB2QvhOAaiRyoyvVnXO/j7MTVRxfbWFxLR6n25aEim15blmH+Vh/1i71ifV+X7am8TgkVGw6404I8SAAvwzgsQAeAWACwFlRFN05zPOmGULDZe5q3LgrdMv2ztytl9S5A7IlyMjdI4Ta+fWYCd2wqlcCnLVrGtffM4+z90wnx0hXckB2AHMFfylo0KgkbqpAqJMPnzD1DF+CacIBYjX/r7/xGfFxtZdXLeLO3bLFBhRv/7A0FdPyY4y568MtCwA/5SgfYQNn60Zp3NEzXuMixgUTCE1oFUNtWZs4du7x2PmIESnD3IWBkIs1vkh0mWR2TFVRDQUrJ1X8LGzv6noy4dcqMRsa69zlMHfGbNnhSKHo19XruL5rpo7F9bZTeTwKkp9NRKtt7amGIj++MhNzpyVnGIL5e82WBbJ9i0CuVUUMv8R9pKQSYu7aXYtbluvc9fDcsgkVxW3rVwpFZ9JdwO/tiRpz93gAvw5gG4CbNuqkacmVjWLuImnc2VbcilvWOdYh1aRqsZW1y8BPbJuuc6cbA7obNOOWDQO8+QUX4b9e+0S8+JLUKOArQdf6jjr4qo/if6phACFEJlbl3D0z+PGHnYyfftRpGQkIfi1pu9XrnKiGxpVq3TC4UjsIbhUqhtPXdOYuDFQJj2ElcuTBJmI8qnaUYe4ec9YOCAE85qxdmXs33cMgzY8xT27ZHBkUIJtQQc+zzdyyLs9VCIG9jIl2YfQnLKX7KOaOAvzjhIpE585gEJrCTIZl3OmseK8LCpJDKUqmANJ3W3fJAmofK7pO/d7phrIioCsTKuznK4KeiU0QQhS6l/MwW4/3XVpvo9uN5MK7jBRKLyLGTm7ZPhMqbLHWeeDtPFFry/4XgO1RFC0JIX4DMXs3dGxUbVmpwN1JA6FtHdikC1UESthoM/HIWiVwop1nEuaO3LLdHLfxdL2CRjtmHXSjqlaJa70+VNOL40zaIJi7hTUy7uL21atpQe0wYdze9rP53cfmls1D3aKq7+L6HIXOXTUIcqVQNgKKzl2Phv0g28HLjxU9h598xKl41oUnYaZewV1HV5TfelGa5/1svgfmjj9PxQPg+Fz3bavjvvm1TFtssMWrSuOuGmCpEbdF6lsanrFpsTqhuZsHhUFkywLASXOxIWxbHHLQ2KRnyurnLzI0s8yd3bijvwfH3Knnnp2oKHGWZeZHGu+X1ltSwBgwxdzlJVS4uGXVzy62ln7cvtyyjveEn+OEFDGOoujYKM5LL8PGMXcubtn0b9eVJ39xKEvJlSkh16XuljWNE9P1EMeSeY7cfsQg2JIl+Evc6wTPXRQUjE4vl8qolafK3TPBuIFmZvFcEiqGli2ruWV1EeOyCRWDAGdFR8ncyWzZpPxYkYuMQMZXhrkrMMpM4MegLMQyMXexFErWA+Bu3KXMnct7YouPJbcsLe463UgWfC9yyxqlUHrQorNBv65e+9zrn3Ee9s1O4NVPPKtwW1rMPtxQ77jMIlIfPzMVKngN8uRYmQoVPRt36m96vyzjliVGbmm9rcRv52XLlolNJOgGqcv7rJ+nbKhKLzF3g3bLbjrjrhcIIeYLNpkr+B0X7J/FFbcewQX7ewsYd4Up5s7qlu0h5k417lRmqwgU+5CKGGfbQVCyPhOJCDLubG3l9HtePdo8cBcwudbIqFJj4dyOXzFMOEVQ3BiGIt5AjhSKxTAcJDJSKKFafqxXIeJ+MIgKFYNsBzF3ZZ+Bvn0vgzTvJ67Mnd63aVKnZ2xqmw1k3NVCN0Y/LlEmlAQtgDF3lXRMI+Fs0/vN+x1n2/l5BgXd2On12Ofvm8Uf/tiFTts+68J9uPqNz8De2SzLVzGwbTbohrH+edDZsmqdVI25q/fhlk3mk8X1ttJ3+BhYC4Nc17xbQoX22aFPm/T9yqDGjGpX1o+fchC1ZU8I424QeOOPXoBXPv7MjGDtoCHdKe0IEYi5M2+riH46GmhqTBplk7q9kDJbVmfuDD1fiR1LEhoa1FYH5q7XbFkhBCaroaKxReez1XzNQy/MnZKtxvavOKzmgkDI8mzDSt5Jjbu0QoXqMh7KaXMxCBHjQaCuMXdl2dNBJFQYY+7KSKEEQhpPqlyR2/lJ667MtU9UQrQ6beU7fTHHmTuTjqW6ECK37HBi7oRQvQkb1efIjaujalkEmlDE3OkueiDLVpVh7vjCQbelspU23I+7jbllFeaO9Q1dWqmX8mNZKZTitmVEjMtKoVQo1tF9vy2VLSuECAAUpxkBiKJovdfzRFG0vaAd8yhg74JADN2wA8D0qbpSLd8ac9eTWzbdjiccuCAVMY4HaBIxNgWbTmtUuhpPY+642waQUAHELwY37uhFVQVR3eMgaBJwdQvFyRsBGu2uWuHC0fU5VatgvdUstbouA3peXApFqS07ZLkfE8YlW1Zn7soaFC4VKorAz0kSE0X6gXrQuyl70/W5krRPmWufqIVScDnTtmSybrFsWaMUChtH6ga37KBDYrg3YdjhNkWwJV6ZoMcw58Xc9VuhAtAXDnrMXT/MXbzv4npbCs4Daa3ieBtNMkYvP9aTiLGLW1Zn7npzy5YxohW3bHXzlx97CoA1l39CCPeKzpsY1CnihIr4O9ug3FttWUPMneO+KY2eiE7mJHxMazVSFbeDC3PXY0IFkKW0KwYWoMwg1Eu8JU1O1oSKnMGCVq7DZu54u7gUwyjmOUXnbqQxd3E7pG5XyRW7aiTn14N1OQZB10XTobA1YYAdBlFd12t56oP24Px9M/iZx5zmtD2QHwBeZ8xdI4e5M8WdTViSkwYB/j4PW+KqCHxsKBqPdfWByarObmUXsZls2R6NO323jPHVoxQKl1MhT4/p+D0lVGhjrVuogW4MF+6igEIb9hhc8Dbwdtoy0Mtg1G7ZmwG82nHbpWE2ZFzAY+5otWDrWL3UllWYu7VyMXd7ZuKOemixgShiUi2Gl2Wqzg0pVUfNNnhx11M/Ct2ZAGND/E6ZQYhcyqWMu2oIrLe12rJuBtSO6Srum1/rKRjfBaZVPL8fZVepg8C4uGVT5o4SKnqPuZuqhaWz7ACztlwZ5q4SZiUqAPfnunumjs//5lOdtiW4GneUZGGKuSuqLTsM5k5v46hQplxVpvyYxS1bYfFe/WTL2qSdgCxzV+YZ8YSKNou5I73IdjfKhCP05JbtRedOu86yY+KjztiBv/uZh+P8EqLu5+6bwUQ1wNm7ZwaywB2pcRdF0QEA7xllG8YNNMm2OxEqQX5NyF4qVMRB0nFpo6WSMXcUL7LW6mBxvY1IMovZbTPMncNAqujc9THY6hpB/SRUAL0xd2REK/pVjq7P3/2RB+Oz3z+AH734JOfzlYHen+Lno7r1NhrjYtxRH1lpptVNymAQGW+zExXs21bHwcWG/K5UQkUQB6HrsafDlHHS2SRb2yjJybR4MzF3euWNQaIXmaNhgb9/RWN5kRQKXUuermaZvqAwd9pxtmXcpu7HnWUJelwKpRIEqIZx3HHG7dtLQkUPOnd6CE7ZRZoQAi94+Cml9tk7O4Gr3/gMTPa4KNQxareshwbuli2SMLDVPc2DEEK6J5dKxtydxCQSDi6uuzN3oVCCpW2DlyqF0gdzl8keS5g7ixhnEWhAKVP+iCY0Pti5MndPPm8P/vQnH+Kket8Lipi7UWTLXnTyHPbO1vHEc3eN1C1L7kxauJQVkubP21b1pAhBIPBbz36Q8l2RFIpJEV93zQ7TaM9j2rkxQmOOyfA11WEWQshrG7TrtIxw8LChtKUgtreQuUuOlcfGl60tK9uZMe7yja88kOHW6UaSaIiPkWbvZ8q0ZbKcHWLutG2cdO60jTbKa799qpZ5vr1i1G7Z0hBCzAF4XfLx8cn/r02SIu6Kouj9I2nYgKBIoRSJGPMA5JKs0lqrUzrmbtdMHWEg0OlGOLCwnta+NRgDM1yvLVArILhly/Y+2NpWsr3o3PFte4m5U2vLjtb1aTt3VS8/NgLmbm6yiqt+7+mlpAOGgb1abdWyMXdBICQzzhc4ZfGiR56KP/7UjTIzfaZeVKEiu3CZm6rh/oU0D22YRnuedANvG4VW7Zg2JXzE7dMlWCaS8mWDZnSVJIYRu2VLJVRkYu7Mbll+HP2d7z1bVt2vP527dN/jXAg5EPI4+vH1PtBLhYpedO5Gof3ZLzYjc7cDwJ8k/56bfPdbyedfGFWjBgUuPpqXjRp/n/5dZuCjVXZZEeMwEDLu7sDiumyf6QWb4tmyWjamm1t2kAkVxNz15paVxl2JeywTKjgbYRE03mhkdJ+CeDKlZzQK4w6IDeFRGnYAMhpkvTA61F/6yXgLAoF3vOISAHGJqx3T7sYdtVkviTXM55ofc5f9bacxm5cWUWo7J2SC0YCNuzFJ4gHKtWVCq12t3xe6X/yZDC5bVjfu+te5A6BVuUjDRLLHz4aUFCGbLVvcNv24o1yM94pNx9xFUXQngM13px1BA1unG6HVSSsImNCLBhuQvvRlRYwBYN/cBA4sruPgwjp2JYaeOVtWr3VZnFAxNzkc5k7G3PWYUEG0fpl7fNHJc/j23fN48P5txnOOci6xqdVvn6zi6ErTGIx/oiDD3PXgjwmDWNC3H+YOAJ5w7m78968/CZPVsHCxo9SWTZ6nbhCOzC1reN+NzB3V79a2P3PXNA4tNXDajsFKUalqA6OdUpSEihLlx0xG9aUP2osfvfgkPO1Be+V3fWXL5gic96dzl/bP46sqc0dzRFbnTo+5Kz5fxiXtwtz1IJ8ybth0xt1WB3+x1xMdMitz14MUCpDGs630kBF40rY6rgdwcGkd25MB2tQ8ztzFUijFbT1r9wwef/YuVEKBU7ZPOrcpc+6aTuVnY+7KuWXLx9y96ccvwmuecraijZjnJtlI2Fw0f/OSh+GmB5Zwyek7RtGssUCGueuBYY37S7fnmDuOi04uLJ4DwFzJYW5SNaCGVasYcI+5A2KjSg/EB9JFlM5c/cPLHolbDy3jcWfvHEBLU1RLuEKHjTIJFZy5M4lkz01W8U8vv0T5bnC1ZQuYu1LhQSFqYYBmp6syd4HAqTsmcceRFZyzZ0bZR39OejydCXqbnaRQMu7fwl3GDt64GzPwF7vZzmfuenfLqtuWcTdSUsWBhQbO22uvfTujSaGEDoNXGAh86DWPc26LDRm3bHJuW83XIshYoBL3KQyyotejjmuznZsM70sftBeXstX+iYiMcdcDo0P3cxAlhFxhEq7dvoEJFWXcsjumasYJVjJ32viwZ7ZeSi/MFb16PoaBUhUqOHPn2MeyC7reEiqyxl3v2bK0/9GVJo6vtpRz/N3PPAI3H1jE487apR5fry3bQ/kxl4W1ftxRh4v0gk1oj25tmNxAthdGqS1bZsWkDbZl9t2XyKEcXFyX5ceMMXc8oUKTQhm21IWeLZvG3PXmlqX4oB19Zq+q2bIjNO76GOi3OnZM1dQM556Yu3j/6Q007oJA4PFn78LcZBUXJKEAGxpzlyO6qrtld1riB2UlmQ1KbigjHDxsuCScEfj9yTOqOTIxdz1KoRQZd2WNZNqfEipIm2/ndA1POGd3JpFBN7pcxvGeyo/pIsab0LjzzN2YwfRy2DJ1enXLZpi7Ei+6ZO6YFIppVXPK9kkIEaeyT9XCnqpp9Ap9NZtmy/aWUPHmF1yEr/3wMJ730P19tauqxNyND3M3yraMG4JAYM9sHQ8kWaa9yG/Q/Zwakgi1DR/4xcei2elKhlpfjGwUc0el9/hnDtsiicazjWLRlAXnqN2yJWRZuAfCVUuxn2zZvISKeiVUnnfZGFVy61LMXdH+OpPuch0ZQWKnfTSDcBOuf71xN2YwDTK2VUMvIsZANj6mzGBKZVWOLDfQlAkf2e1O2zmFD/ziYzE3WXUWMR4U9DgUadz1UFsWAC7Yv02yIf1AEQoe4UpQn+T3W4qZn6jYy4y73pi7eB+dQR42gkBgIkjPOTfVeyZjWfAxZed0Td4/IKtZudOQTAHwrPSNeTfKyI8MG/z8hSLGnLlzNO76WdDlSaEAsYHWWI4Ft8vGqErmjoy7gv2ztWWLz6cf0mXo5TXFgc2ZULEJ7dGtDTNzZ962FxFjYDDGXRQBB5MB3GaoPOGc3TIgXGHuwuFOerqLyOTuGaZavw2VMWHu+AA9W6/gpx/tXkP0RMCe2dTY7TVbFth45k6H7pYdJvvAxxSdmcswdxbjjmJUz9g1PeDWmTFebtnemDt3t6z9fEXIY+4AtUpFeeYu3vfYSstp/17Kj2WlUNzaOC4JcL3CM3djBpMbaPDMnbptGSbtJMbykECqC82trEyH7Za1FNJW5SI2fjAfF7csV4N/9RPPHFoljM2KvdvS4P1eGJ192+q4+9hqXxnfg4BuRA2zz09qzB2HPr7sshh3P/bQk3HStglceHL/LLkLTBUxRgXOQBX1uUogEIhYENrVLauHzpTKluVGjom5Y4uIssbdNt0tW9BHSY+TQoKcdO56iLkDkmtp0T7euPPoEyYGzq5zx/Yr8VL1w9zN1CuYqVew3GjjgYU1AG4dfyOLdGd07vpMqBgU+MA1SsVz0jcEgF940tkja8e4gmfM9jLpv/UlD8f1987jmReMNvM4w9wNsctx96BuVJqyZU0IAoHHnr3L+NswUMYVOmxUS7CIQgjUK3HdYL2Otg39JFEVhbNw5q68WzYtQWY7vo5qKApLc3LoY20vzJ2XQvHoG6ZBxppQkXRSvVxPEfox7oCYmVg+3Mb98/luWY4NzZbVEyoMIsa96Jf1C4W5G+FK8Feeeg5uO7yM33jG+Zm4LI+4gDehbG1ZIHYv6jI4o4D+bIcp58C9AXpN22y27HgwxeMkhaLG/xU/Jyoh2XO2bJmYuxwRYyB1rQai/KI1I6XicO3VIMA64nhvp9qyGebOrY18ztqMUijeuBszmFYuRW7ZssaSLoVSNoD5pLkJ3HZ4RQpPuthJI82WTa6PX3cZKYBBQUmoGCFz99izd+Hy33n6yM4/7lCYu02cSTyoAuQuOHfPLIQAzto1nUloqoSpGxGwx9xtNDZywVmEsvF/8bNtuWfLWqrSuCBPCgUAZpO6x70shOYm88uLmcDvlQsDOYiYOy+F4tE34sLpccIC/862LdCDcafF3JV1SeybVbMrXV6WjWXudGFNE3N34iZUeOSDx9z1MmGdiDh91xS+8luXYsdUDf925R3Kb2EgUAkDKcpuqis7CpSJcxs2yiRUAOlY5pwtKzgLVY5hKzLuqARZL2PquXvVChQu7xu/Py5MXy+1ZePzpBtuRimUTdjkrQ0hsoWgiypUlI0L6tcte5ImneFiqLhUqBgUMm5ZGXPH692Owi07HsydRz729pkte6LizN3TmJuqZsr0hUKtLa3XvB0VVINqtM+5WtLQpCQoVxc3H27KVpHg46aRuZvonbm7SEuecYu54zGAPTB3jtfPr8e7ZT0Gghpb5QI5xt2AmLuyxt3pWjyRUzkX7nYYsmGVKT8ms2VHnVDhmbvNgN0zNcmejyI2c7MjU9w9VI27cYm5k7p6oRj55F3WLfuHz78AX7zpEJ7vKKwe9DH2FLplk7i5XgzkXTN1nDw3IZUXXMZlxS3bQ4UK10etjNfeuPMYBPSXxGY8XXLGDkzXQjz1/D2ljp9l7sp13NN3qcadG3OXDqTDzhTVxWONzN1I3LKbO4bjREElDLBruoYjy82Ru+s2I3TjJBBCWWC5JgEMG2QYjDpTFtDKjzmMx5ecsROXnLHT+fh8vCkriVNk3O2eicMYZnrUdbzolDlp3IUObVPLA/bili0fc+elUDwGAle37INP2obr/vDZpZk7PdC67P66yKhTrb5g4wbSShjE7GdSQcOULXsi69x5FGPftgkcWW4qfWYzYroWYqXZ2dBzZpi7IJD9fed0beQsGYHGgDIC8MMCHxuGsaDoh7njHg/TovRZF+7DLz35LDzh3N09te3ik+fwhRsPAnCL21Nj7oasc0f7jL6LlIY37sYQGeMuZzDsJTlBd1uWNbhO2jahGE9uOnfxOTYqK22yFqK51lXS8/kgNYoYm3HJlvUoxmuecjY++I278SMXnTTqpvSF2Ynqhht3+ngSBOmkbdO4GwVSb8LoZ+5hJ3eEJdkuDoW5M4ybE9UQf/C8C3tu28WnpHF3Uc52BCU+0UnnTvvsmTuPUSHjlh3wuz6hGVhlB5MwEDh15yRuP7wiPxehYnCNDhNTtRALay1l0Bx1QkWt4pm7zYIXPPwUvODhp4y6GX1jZqICLG7sOfUFXCUIpFEwLvF2wMZ6E4pQNlu2LPhwUzrmbsjhJBefMif/vv3wcuH2ZVUH9G1cmePN7mkZfa/2yMDVLdsrMjF3PbBpPKnCJYauV9mWXkHsZE0x7vKV1oeNM3ZN4yGnzOFxZ+9UtNQ8PIaFn3vCmQCySVTDRHb8SkMjxkXjDkgXeKPWuAPisens3dOohQHO2TP42rqB6IO5C4c7bvKx8PhqK2fLGKXdsrqAs3NCBWfu3PYZJ3jmbgxRxi3bC/pNqACAM7hx55Itu8HGHcmhqHETQrqTR2HcVcMA//XaJwLYnKn1HpsPL3vM6Thp20RGcmKY0MeTkMfcjVFFFJ4tO2oIIfCp1z0JK822IsUzKHADp6yAOx83h5EMV3YsVOMTHYgFPebO8Rr4sTfjeD36JYtHBjqTNugXql8RYwA4nSVVuIwVMuZug1wglJGnJ04QezcqcVohRi+74HHiIAgEnnXhPpy8fXLDzqmPXyHLlh0v5m58Yu4AYLpeGYphB/SXLQuki/JhLYrf8JwHAQB++annFG5bNna5V7escp5NOGZ75m4MoafCD/qF6lfEGFCZO5eXhZi0XtPly4IKausru3o1wFJjPFbrHh5bEXXd8xAKPOL07bj5wCIefaa7fMewQeOeXvt2K6KfbFkgMe4agycaCL/y1HPwnIv24ezdM4XblhV8jhfUadUn5woVFe6W3XzzhTfuxhB6hx04c6fXlu3FuGNad0eWG4Xbv+DhJ+OmA4t44SNPLX2uXkBad7rI5Z7ZWOJi17SPefPwGAZMzN2f/sTFeMOzHzRWzN2PXHwSvnjTQbzy8WeOuikbAqrv2wtZUB8ycxcEAufunXXali/MXdsTCoF2Yt05Z8uyY3spFI+BYNgxd7p2F8/idMVpjLm79/ha4fZ7t03grS95eOnz9ApiCvV7+daXPAzX3zOPSx9UTvjZw8PDDaaEMCHEWBl2AHDOnhl84lefOOpmbBjCQKDbiXpn7jAeDFZFSfBws7oCsmzRo87dGFx3WXjjbgyRDUgesHFXCRSauhfmjrt27z2+OqimDQyULauXj7pg/zZcsH/jgss9PE406HG1m1FGYisiNlCintg3KjE2VRu9ycAZNdcykpwgcY652+S1wEf/pDwyyLhlB7xqEEJgohJirRWLm/abwdrquEhPbixM2bIeHh7Dh+4J2IwT41YEPYdenscbnvNgfPb7B/Dch4xe1FuVQnFNjijPwilu2U3YhTehJ3nrY9g6d4CaMdtrtthvP/t8AMBfveihA2nTIEEJFaPKivXwOFGxEeOXR3kQe9VLtuxTz9+Dt/zUQ7B9DCqMcINO98zYEPRgqPkKFR4DR5a5G/w5Yrdqy3g+V7z26efhZY89Y+xiaQDgcWftxD+FAo8/e9eom+LhcUIhW6Fi802MWxFkn2x2Y5vPV66afYrOn+P1V7xx5zFocLdGIIYjoMhj5vrRnhtHww4AnnDubnz3j56TqaPr4eExXAw7rMSjN5BRs9lDVaq9MHc9xNxVN3lChfdZjSGqGxDIybWdtqrmmzfsPDw2Hrpx55m78UA/MXfjhEoPMXe8Szpny/LyY5vQUtqETd762Ajjjpg7ITb/y+7h4TE+0EWBhyV861EOgYy529zPQ8mWLaFzR3Bl4Ta7FIo37sYQinE3pE5FCRXVMPDlsDw8PAYGJZtxkxsSWwlbhbmj/kX6iS7oJaGitsmlULxxN4aoasXuhwGqvbpRtV49PDxODISBkBOoZ+3GB0Ef2bLjBHLLllk48G3dde74Ps6nGhts7qe8RbGRbtmtGm/n4eExOgy70LxHeZBNtxlZKA6as8r0LZW560HEeBNad964G0NsjFs2Ye5OgKLZHh4eGwvpOtuEk+JWRbhFYu4qMuvXfe5SY+7c9qn2YBCOEzbdzC6EeIYQ4t1CiB8KIVaFELcJId4hhBi9dPaAsBFuWR5z5+Hh4TFIULiHqw6Zx/ARbJWYuwrNXe7XEfbJ3G1G424z6tz9BYCdAD4G4BYAZwN4LYDnCyEeHkXRoVE2bhDgbNqwVr71io+58/DwGA5oDPPM3fhAMneb3OAmbbsyRio3zlwJE5VkcT7V2GAzGnf/E8AVURR16QshxGcBfBXArwJ404jaNTBsbMzdJuy1Hh4eYw2e0egxHiADZ7M/kwtP3oYwEHjoqdud9wl7yJb15cc2GFEUfc30nRDiGIALRtCkgUPpVEOyvaRbtrL5Oq2Hh8d4g1iPzW5IbCUQY7XZs2UvPmUO1/z+M0rVue0poaKHkmXjhE1n3JkghJgBMAPgiOX3+YJDzA26Tf2A08HDehHP2TMDADhz1/RQju/h4XHiopaEfWzGSXGrItwi2bIAsGumXmp7VQrFbR9OsmxC4m5rGHcAfgNADcBHR9yOgUClg4dzjuc9ZD9O2zmF8/fNDOcEHh4eJyxqnrkbO2yVbNle0G+Fis0YOzpS404IESA2ygoRRdG65RhPAfBHAD4URdFXLftuL2jHPMaIvduImLsgEHj4aduHcmwPD48TGz7mbvywVbJlewF3gLkadzP12DyqhYGPuesBTwHwFZcNhRB7oig6on33YACfAHA9gF8afPNGg+omr2nn4eFxYsNny44ftkpt2V7QS0LFw07djtc85WycvXt6U1ZaGbVxdzOAVztuu8Q/CCFOA/B5APMAnhdF0cpgmzY6bPaadh4eHic2PHM3fpibrAIAtiX/n0jgJEmZerS//9zNm6M5UuMuiqIDAN5Tdj8hxC7Ehl0dwNOjKDo44KaNFNWKN+48PDw2L7xxN374vR99MB5+2na8+JLTRt2UDUcvzN1mx6iZu9IQQkwD+DSAUwA8LYqiW0fcpIFjs+vreHh4nNio+9qyY4fz983i/H2zo27GSLDZZU16waYz7gB8AMBjALwLwAVCCM6bHoyi6AujadbgcCJ2RA8Pj60DihvejLFKHlsPQQ/Zspsdm9G4e3jy/88n/zi+CmDTG3c175b18PDYxCDvg2fuPMYBYQ86d5sdm864i6LozFG3YdhQpFBOlJ7o4eGxZUBxwycKS+Ix3uilQsVmx6Yz7k4EcCkUz9x5ePSGKIpw5MgRrK+vo9vtFu+wBREEASqVCrZt24bp6Y2rRkMZ/5u9SL3H1kAvIsabHd64G0PUlNqyJ0ZH9PAYJKIown333YelpSXU63WEYTjqJo0ErVYLq6urmJ+fx+zsLE4++WQEG1BblBIqwk1ex9Rja8Bny3qMBVS37Agb4uGxSXHkyBEsLS1h37592Llz56ibM1J0u10cPXoUR44cwcLCAnbs2DH0cz7n4pPwhZsO4qceccrQz+XhUYRedO42O7xxN4bwOnceHv1hfX0d9Xr9hDfsgNg1u3v3biwuLmJ5eXlDjLtHnr4DX/6tS4d+Hg8PF1ROQObOc+ZjiMoJGPzp4TFIdLvdE9YVa4IQApVK5YSNPfQ4sXEiJlR4424MUfXlxzw8PDw8PAYCNqWeMHOqN+7GEGEgZAf0CRUeHh4eHh69IxQnns6dN+7GFCSH4kVAPTw8PDw8eod3y3qMDWTh7ROkI3p4eHh4eAwDJ6LOnTfuxhSkdefdsh4eHh4eHr3jRNS588bdmMIzdx4eHh4eHv1DrS17Ysyp3rgbU1DZHs/ceXh4eHh49A7P3HmMDcgtG/on5OHhkeDd7343hBC47rrrMr/9wR/8ASYmJnD8+PERtMzDY3wR+Jg7j3GBd8t6eHjoeOELX4jJyUl88IMfVL6Poggf/OAH8dznPndDKlB4eGwmhCdgtqwvPzamqFa8W9bDY5Bod7p4YGF91M2Q2D83gUpJan7btm14wQtegA9/+MP4y7/8Sxk/dNVVV+HOO+/E3/zN3wyjqR4emxqKcXeCUFreuBtTeObOw2OweGBhHU/+y6+MuhkSl//O03DazqnS+73yla/Ehz/8YXz1q1/FpZdeCgD4wAc+gO3bt+N5z3vegFvp4bH54d2yHmMDadyFJ0ZH9PDwcMOzn/1s7Nu3T7pmW60WPvrRj+JFL3oR6vX6iFvn4TF+4AT5iWLceeZuTDFdi4ueT1Z98XMPj0Fg/9wELv+dp426GRL75yZ62i8MQ7z0pS/Fe97zHrz97W/H5z//eRw9ehQvf/nLB9xCD4+tgZD5Yk8Q284bd+OKX33auZibrOKFjzx11E3x8NgSqIRBT27QccQrXvEK/O3f/i0+85nP4MMf/jBOP/10POUpTxl1szw8xhLcAeaZO4+R4tFn7sSjz9w56mZ4eHiMIR7xiEfg4osvxjve8Q5cdtlleN3rXnfCiLN6eJSF17nz8PDw8NgUeMUrXoFPf/rTWF1d9S5ZD48cBCegFIo37jw8PDw2IV72spchCAI87GEPw8UXXzzq5nh4jC246sQJYtt5487Dw8NjM6JarUII4Vk7D48CEHMXCF9b1sPDw8NjjPGud70LAPDSl750xC3x8BhvEHN3orhkAZ9Q4eHh4bGp8OUvfxk33HAD3vKWt+DFL34xTj755FE3ycNjrFEJvXHn4eHh4THG+OM//mNcddVVeNKTnoS3vvWto26Oh8fYg4y6E8i288adh4eHx2bCZZddNuomeHhsKoTBicfc+Zg7Dw8PDw8Pjy2LQKQJFScKvHHn4eHh4eHhsWVx7t5pAMA5e2dG3JKNg3fLenh4bDkEQYBWqzXqZowNoihCu91GrVYbdVM8PDYc5+6dxdfe8DTsmjlx+r9n7jw8PLYcJiYm0Gg0cOzYsVE3ZeTodrs4fPgwms0mZmZOHObCw4Pj9F1TmK6fOHzWiXOlHh4eJwx2796NRqOBgwcPYn5+HmEYjrpJI0Gn00Gr1UK328W2bdswNzc36iZ5eHhsALxx5+HhseUghMApp5yCI0eOYH19Hd1ud9RNGgmq1SomJycxNzeHqampUTfHw8Njg+CNOw8Pjy0JIQT27Nkz6mZ4eHh4bDg2XcydEOI5QojPCCHuE0KsCyHuFUJ8XAhx0ajb5uHh4eHh4eExamxG5u5CAMsA/h7AIQAnAfh5ANcIIR4bRdH3R9k4Dw8PDw8PD49RQkRRNOo29A0hxF4A9wH4lyiKXtvD/vNzc3Nz8/PzA2+bh4eHh4eHh8cgsX37diwsLCxEUbTd9Pumc8tacBjAKoDtI26Hh4eHh4eHh8dIsRndsgAAIcQcgBpit+xvANgG4EuWbecLDuf1ATw8PDw8PDy2BDatcYfYkLsk+XsZwJ8AeM/IWuPh4eHh4eHhMQYYqXEnhAgQs2+FiKJoXfvqVxG7Yc8G8CoAU4ivJ1NzyOaTZu3oLiwsiO3bczfz8PDw8PDw8Bg5FhYWgNhjacRIEyqEEJcC+Irj5nuiKDpiOc52ADcC+GAURb/dQzvoJiwk/1ONnuUSh9kM+5BM/4JtwwGdZ6P3Ibd63nVtVNuGeS79OjfTM3KBy3McxHlGvU/edY66bYPYh1/fuL1Dg9xnq46nHLa+Og5tG8Q+dH2dIZ9nGPvMAUAURcK006iNu5MA/Ijj5h+KoqiRc6z3AXhWFEX7e2jHPJAyfEKIy5LPl5Y4xtjvA+Dhyb7bx61t/eyjP79Rtm2Y5zoB+ul8ss/2MWzbwPbJu85Rt20Q+/DrG7d3aJD7YIuOp9pv88lv28etbYPYh8Xjf2fc2la0T9F4OVK3bBRFBzC4OLlJ+MQIDw8PDw8PjxMcm04KRQiRqSckhDgdwLMAXLvxLfLw8PDw8PDwGB9sxmzZq4QQ30FsyB0FcC6AXwAwAeCNI2yXh4eHh4eHh8fIsRmNu3cC+CkAT0ecKXIEsSzKn0VRdP0oG+bh4eHh4eHhMWpsifJj/aKXQO7NiK16nVv1unRs9evc6tdH2OrXudWvj3AiXOdWv8bNfH1Fbd90MXceHh4eHh4eHh52eOPOw8PDw8PDw2MLwbtlPTw8PDw8PDy2EDxz5+Hh4eHh4eGxheCNOw8PDw8PDw+PLQRv3Hl4eHh4eHh4bCF4484DQog7hRCfHHU7PDw8ti6EEJcKISIhxKWjbouHx1bHljbuhBCvSgaTh4+6LcMAuz7Tv98bdft6gXZNjzL8XhNCHEt+f88ImjgUCCHekFzTl0bdln5wAj+/LT3WcGzla90q76ENQoiHCCE+LoS4SwixLoS4TwjxBSHE60bdtkFDCPFQIcSHhRAPCCEaQoi7hRD/JoQ4q4dj/YgQ4k1DaObQsBkrVHhk8QcA7ta+u24UDRkgGgBeCuBb2vc/CmAOQGvDWzRcvAzAnQAuFULsj6LogRG3p1+caM/PY2tgq72HEkKIJwD4CuK54p0ADgA4DcDjALwewN+PrnWDhRDiJQA+AOAQgHcgvubzAfwSgBcLIZ4XRdHlJQ75I4jv0ZsG3NShwRt3WwOfjqLoO6NuxIDxaQA/LYT47SiKuuz7nwVwGYBLBnESIUQNQDeKovYgjtdjGy4E8DAAzwfwIQA/A+BvB3j8qSiKVgd1PEdsyPPz8Pj/27vzcKuq+4zj31cUUXGKGmfFKHk0jxqHYOKsTWnVYDRKzBNRwQSHxtYhJjGaajVJY0xto6YmjgmQxAkVRK1arfIEZ4kPzlgcQA0aJ1BAcKC//rHWgc3mXLj3cs9438/znOecvfba+65199l7r72m01NqfR42gR8Bs4BBETG7uELSpxuSohqQNBAYBTwP7BMR7xbW/QZ4EBgr6XPFde2mrZtlyyTtLWlsrp79UNKrkn4pabVSvFGSZkvaXNIESXMlvSXpQkl9GpX+7pB0rKTHJc2X9Lak0ZI27CDugZKeyNX1T0k6qN7pLbgW2ATYtxIgqT9wcF5HIbyvpB9L+rOk9yTNkzRJ0v6leANyk8tpkk6X9DIwH9is9tlZpmHAX4E7gVvy8iKFvkpDJf1c0l/zd/ImSRuV4k6UNEXSbpLulzQf+EHdcrJYjx4/Sf1z+MXlPyRpYP7/fKd22ekapX6so6qET5Q0sbBcObaHSTo7N5MtkPQ/krapZ5q7q7N5bQHLOw8rzdEDSuFV+xJKOknSS/na+2i+/zTyf7I18FS5YAcQEW8Wlztz38jHfXyT3TcAvgesBpxQLrxFxHTS9XBD4IRKuKTPKTVXv53z/Kyks/K6UaRaO1To+lSfrHRfryrcAV8HVgd+A/wTcFd+H1Ml7irAf5Oqdb8H/Ak4HTi+LintmnUkrV94rQcg6V+Aq4BngdOAS4FDgPvKBVpgW1I19m3AWUAf4BalqvxGmEZq0vtmIewQUm3zTaW4awEjSTVCZ5CqzjcA7lL1fkEjSSf2r0kn+tyeS3a3fBO4MSIWAtcBu0r6bJV45wB/B/yMlPYhwJ2SVinF24B0HB8jXZQerlXCl6FHj19EzAXGAUdUecAaRmrmvb4nM1Bn/wx8FfgF8HNSU9kfG5qi3qez5+FySfoH4D9JzYE/ACYB42nsg+QMYJBSDWWHWvy+Aem6+HJEPNDB+rHAAuArAPka8zCwD3AZcCpwR94PwOWksgLA0YVXc4uItn0BI4AAdsrLq1WJ80Pg/4AtCmGj8nZnluI+DkxudL6q5K/8mgsMAD4BTi9t86Wc3xMLYdPzdgcXwtYF3gbua9QxA74LvAOsktfdDtySP88GRuXPfYC+pf2sQ+pTcnUhbEDe9yxgvUYfv5ymPXKa9s7LqwDvAucV4uyX48wA+hfCj8nhwwthE3PYtxr8nazF8fv7vO/BpbjTgAkNPo6L8p2Xp1fyV4o3EZhY5dg+Vfk/5fCTc/j2jf6O1iCv+zU6D1XS2pnzsJLvAaVtl8gX0Jd07XwIWLkQb3iON7GWeVlGHgeT7gmfAA+QHiIGl753A2jB+0bh76+d0zR+OfGeAN7Jnyfl69FmpTgqfL4IiEZ/T7vy6lU1dxExv/JZ0hqS1ie1vwvYucoml5eWJwGfqV0Ku+1E0klaeQ0BvkbK183FWj3gBeB10gWp6JWIuLWyEBGzSM1n+0hao/ZZqOp60k3+gFwbOZhSkx5ARCyMiI8AJK0k6VOkGqLJwC5V9js2It6pWaq75kjgL8D9ABHxMXBzDi8bHakGq+IaUkH1wFK8D4Df93xSu6ynj989pO/uouYySbsB2wB/qFEe6uW3+dhXVDp7N+P1ph115Txcni8A6wFXxJJ9ef9IOl8bIiLuBnYHJpAevs4gtU69KqlSS9Xq94018/uc5cSbA6wlaQNgL+CqiHitGCFyqa5V9aoBFZK2AH5Mav5Yt7R67dLy3Fi6s+WsKts1g0eiNKBCabTQSsBLHWyzQWn5hSpxpuV9bA5MXcE0dllE/EXSJNIFdlPgI9KFaSmShpOazbclPXVXvFwlerWwupO0MnAE6QK7taTKqoeAb0vaLSIeLWwyrbh9RHwiaTrpabvotVJBoSF6+vhFxEJJ1wDHSToxIhaQCnrvA7fS2sqj3SuFgGa83rSVbpyHy7Nlfl/imlo4XxsmIh4DDlMaSPZ5UmHuNOAmSZ8HBtLa941KoW7NZcZK6+ew+OHp6ZqlqEF6TeEu99O5G/gUcAHpSzePdNMZxdL9DxfWM301sBIpDweSqqnLGvYE2UXXAv9B6gw8IaqM+pR0FOkYjgf+jdRPciFwZt6ubH6VsEYYTLpYDqPUeTs7EujKTaWiWfIHPX/8xpAKgUMkjQO+AdxcrJVvEh099feh+rWlo+uNOghvJl3Na7Pp7Hm4rHy2lFxT/hjwmKT/BX5HKuC29H0jIt6T9DqwY0dxJK1Kmhblz3VLWAP0msIdsAPpgA6PiEUDKCQNblySaupF0kVnWqQRQstTbWTeQFI/i1d7MF1dNZY0/9IgUq1rNUNJT5qHFavSJZ1X++StkGHAa6Qn57KjSVOJnF4IG1iMkGscBpAeWppVjx6/iHhS0pOk/90c0qi3ZmySnUVqki7bko5rRVpVq+e1s+dhpWCzTinOlqXlGfl9GxY3rxfP1ydXLLk9rjIX5Sa0x33jdmCkpD0i4sEq64cC/XK8yvdz++Xss+WaaHtTn7vKE+SiJ2Gl+vdTGpOcmhtHOsHOKa8o9Gsq2kLSwYU465JGj02KiHk1Teky5Kbxk0gjKO/qIFq1Y/tFUv+SpiRpddIItFsj4sbyizTx5kbA3xQ2G640nUjFkaRmuzvqlvAuqtHxG0OqWfgOMJM0MWuzeRH4Um7+AiD3a9q8cUmqmZbNaxfPwxfzZvsUtu/D0jMoTCYNJDo+F+gqhtHAZnZJ+6vQ5lxQmbrkedrjvnEhaTTsZTk9i+SuWb8gTXlzeUS8RepnOVLSZqW4xf/VvBy2Tg3T3aN6U83dVNLJeaGkTUn9dA6nTfu0RMQLks4Bfippa1KfpHmkZq7DgX8lDXeveB4YLenXpAvTcaR+iGfXNeFVRMSVy4lyG3AYME7S7cBWpEEmzwL9l7VhAx1CStttHay/l9S8OozUZAnwHvAnSaNJ3QlOIfUVaeopM2pw/K4hda34KvDvseQkyc3iKlINwZ2SbiCdd0exuIDQTlo5r50+DyNihKSHgfNzIedd0kTHS9xHI+IjpZ+q+hVwj6QbSTV2I0j/k0bVAv0KWD13Z5hKGtW7B6lrw3TgdxExu9XvGxHxvKRvkR4Cn5J0FalP60BSQbwv8JVCn/pTSFOdPS7pClLN6zakgRZ75jiVJtxLJN0FLIyI6+qSoe5q9HDdWr6AY0kn0g55eTtSE9Yc4C3SU9mOOc6IwnajgNlV9ncuTTQcmtKUBB3EOYI0InhezvczpFnXtyzEmU7q73QgqclgAanQMKQZ85TjzWbxVBoi9c+antP+OGkOo1HA9MI2A/K+T22CY1e5aPZbRpwJpALdATndQ0mFmjfztjcDm5S2mQhMaebvZHePX2n7Ozvzd+qY7yWuNTnsu6TmvgWk2oFd6Xh6kENL+6t8V0c0Om81yOt+jc5DIU1dOQ/7kTrg353z+QapsPO31fJFmkO18p1+hFSQmgzc0aC8HgBcDTxHuhd8SBr8cAnw6VLclrpvdJDfnUgj9t8gDeZ6Dfgt8JkqcXckTVw9izTbwDPAGYX1K5GmQ3mTVLMZjc7f8l7KCW9Lkk4GLibNSzRjefHNmpHSzPf3AV+LiPENTUyTkHQrsFVELK+vTF30pmtNb8prT5K0EqlS4eaIOK7R6VlReeTvlIg4tMFJsSravc/dINJTRyMHBJhZD8p9Yw6gOebyq+hN15relNdukdSvSvAxpNkaJtY3NdYbtWWfO0mHk5oAhgGXRXP2yTGzLpC0FakPzAmkJqCrG5ui3nWt6U157QF7SbqA9FN775Am4/42qdlybCMTZr1DWxbuSKNl1gSuJP0urJm1vn1J83HNAI6JiLcbnB7oXdea3pTXFfUSaST3yaTauneB0aSftPyokQmz3qGt+9yZmZmZ9Tbt3ufOzMzMrFdx4c7MzMysjbRs4U7SIEmXSnpW0jxJr0i6TtJSP4ciaQ9J90v6QNIbki7OM5OX460q6QJJMyXNl/SwpC938Pc7tU8zMzOzemrZPnd51u89SSOPniT9RMw/AmsAu0XEczneTsBDpEkJrwI2I3UGvjsiDi7t81rSLNwXAS+QJmT9ArBvRDxUiNfpfZqZmZnVUysX7vYAJhdHHkkaCDwFXBcRI3LYf5Fmn942IubmsJGkEV9fjoh7c9hupFnET4uIi3JYP9LQ9ZkRUfw9wU7t08zMzKzeWrZZNiIeLA8pj4hppNq07QAkrQUMBsZUCmHZGGAu6SdWKoYCH1P43byIqMyltZekjbuxTzMzM7O6atnCXTWSBGwIVOa/2oE0l9/kYrxcKJwC7FwI3hmYWiqwATxK+u3LnbqxTzMzM7O6aqvCHWnm9E2BG/Lyxvn99SpxXwc2KSxvvIx4FOJ2ZZ9mZmZmddU2hTtJ2wKXAvez+DcnV8vvH1bZZEFhfSVuR/GK++rKPs3MzMzqqi0Kd5I2Am4HZgFfL/zm4fz8vmqVzfoV1lfidhSvuK+u7NPMzMysrlr+t2UlrQ3cAawN7BkRbxRWV5pON15qwxQ2sxS3o3gU4nZln2ZmZmZ11dI1d3mqkluBzwJDIuL5UpSngU9Ic9UVt+tLGiAxpRA8BdhWUv/SPr6Y35/oxj7NzMzM6qplC3eS+gDXA7uTmmIfLseJiPeAe4CjS4W2o4H+pAmQK24EVgFGFv7GqsCxwAMRMbMb+zQzMzOrq1aexPgi4BRSzd0NpdVzI2J8jrcL8CCpxq3yaxKnA/dFxEGlfd4AHAr8EngRGA4MAvaPiAcK8Tq9TzMzM7N6auXC3URg3w5Wz4iIAYW4ewEXALsA75Nq/M6MiHmlffYDfgIcBaxL+lmzsyLinip/v1P7NDMzM6unli3cmZmZmdnSWrbPnZmZmZktzYU7MzMzszbiwp2ZmZlZG3HhzszMzKyNuHBnZmZm1kZcuDMzMzNrIy7cmZmZmbURF+7MzLpB0ihJnijUzJrOyo1OgJlZM+hiQW2rmiXEzGwF+RcqzMwASUeVgvYGjgeuACaV1o0DPgL6RMSCOiTPzKzTXHNnZgZExB+Ky5JWJhXuHiqvK/i45gkzM+si97kzM+uGan3uKmGS1suf35Y0R9J4SRvlOMdLek7SAklTJR3Swf6/Ien+vP0Hkh6RNLQeeTOz1ubCnZlZz7sTWBs4B7gSGAKMk/R94PvAaOCHQF/gRklL9OGT9FPgOmAOcHaO+wEwVtJJ9cqEmbUmN8uamfW8RyNiUSFMEsBpwKbA9hHxfg6/F3iC1Px7Zg7bBfgRcH5EnFXY5yWSxgPnSxoTEXPqkREzaz2uuTMz63kXlZYrAzLGVAp2ABHxJPA+MLAQdxgQwGhJ6xdfwARgTWD3mqXczFqea+7MzHreS6XlWfn95SpxZwHrFZa3AwRMXcb+N+x+0sys3blwZ2bWwyJiYQerOgpX6XMABy4j/jPdTJqZ9QIu3JmZNZdpwAHAKxHxXKMTY2atx33uzMyay+/z+88k9SmvlOQmWTNbJtfcmZk1kYh4TNK5wLnAFEljgZnAxsCuwEGkKVTMzKpy4c7MrMlExHmSJgMnA6cCawBvAk/nMDOzDvm3Zc3MzMzaiPvcmZmZmbURF+7MzMzM2ogLd2ZmZmZtxIU7MzMzszbiwp2ZmZlZG3HhzszMzKyNuHBnZmZm1kZcuDMzMzNrIy7cmZmZmbURF+7MzMzM2sj/A7re6ydtFHJqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time series\n",
    "ax = df.plot(figsize=[10, 5])\n",
    "ax.set_title(\"white noise\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "sought-muscle",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a copy to preserve the original dataframe for later use\n",
    "df_ = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "biblical-bargain",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_lag_1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>1.764052</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>0.400157</td>\n",
       "      <td>1.764052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>0.978738</td>\n",
       "      <td>0.400157</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2.240893</td>\n",
       "      <td>0.978738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>1.867558</td>\n",
       "      <td>2.240893</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y   y_lag_1\n",
       "2000-01-01  1.764052       NaN\n",
       "2000-01-02  0.400157  1.764052\n",
       "2000-01-03  0.978738  0.400157\n",
       "2000-01-04  2.240893  0.978738\n",
       "2000-01-05  1.867558  2.240893"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compute the lag of the target\n",
    "lag = 1\n",
    "df_[f\"y_lag_{lag}\"] = df_[\"y\"].shift(periods=lag)\n",
    "df_.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "enabling-brighton",
   "metadata": {},
   "source": [
    "Note: It is because of the missing data introduced by the lag that we start the sum from k+1 in the numerator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "vanilla-mercy",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.02964688962835345\n"
     ]
    }
   ],
   "source": [
    "# Compute the numerator and denominator in the ACF formula.\n",
    "y_mean = df_[\"y\"].mean()  # Compute mean of y of the dataset.\n",
    "# Numerator of the ACF formula.\n",
    "numerator = ((df_[\"y\"] - y_mean) * (df_[f\"y_lag_{lag}\"] - y_mean)).sum()\n",
    "# Denominator of the ACF formula.\n",
    "denominator = ((df_[\"y\"] - y_mean) ** 2).sum()\n",
    "# Compute the autocorrelation.\n",
    "r = numerator / denominator\n",
    "print(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cubic-honey",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute the autocorrelation for multiple lags\n",
    "r = {}\n",
    "for lag in range(0, 37):\n",
    "    df_ = df.copy()\n",
    "    df_[\"y_lag\"] = df_[\"y\"].shift(lag)\n",
    "    y_mean = df_[\"y\"].mean()\n",
    "    numerator = ((df_[\"y\"] - y_mean) * (df_[\"y_lag\"] - y_mean)).sum()\n",
    "    denominator = ((df_[\"y\"] - y_mean) ** 2).sum()\n",
    "    r[lag] = numerator / denominator\n",
    "\n",
    "acf_ = pd.Series(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "driven-point",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1.000000\n",
       "1   -0.029647\n",
       "2    0.051701\n",
       "3    0.056755\n",
       "4    0.004363\n",
       "dtype: float64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "acf_.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "acceptable-retro",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "plt.stem(acf_)\n",
    "ax.set_title(\"Autcorrelation of white noise\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "composed-plaza",
   "metadata": {},
   "source": [
    "# Compute the ACF for white noise using statsmodels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "royal-raleigh",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a copy to preserve the original dataframe for later use\n",
    "df_ = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "brilliant-maria",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        , -0.02964689,  0.0517005 ,  0.05675462,  0.00436303,\n",
       "        0.03528042, -0.00266454,  0.16528553,  0.11264096,  0.00461414,\n",
       "        0.0512451 , -0.01728878,  0.01791833,  0.06893252,  0.07320845,\n",
       "        0.07403495, -0.0241931 , -0.04691654,  0.03300885,  0.07272857,\n",
       "        0.05298582])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "acf_ = acf(x=df_[\"y\"], nlags=20)\n",
    "acf_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "silent-defense",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Lag')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df_[\"y\"],\n",
    "    lags=50,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ");\n",
    "ax.set_title(\"Autocorrelation of white noise\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "solid-landing",
   "metadata": {},
   "source": [
    " - The autocorrelation is one at lag 0 as expected.\n",
    " - The autocorrelation at all other lags are not significant. As expected from white noise because the timeseries at each point is determined independently from each other point and therefore no point is correlated to a previous point.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "several-tonight",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot example lag plots\n",
    "fig, ax = plt.subplots(nrows=1, ncols=3, figsize=[12, 4])\n",
    "\n",
    "with sns.plotting_context(\"paper\"):\n",
    "    pd.plotting.lag_plot(df_[\"y\"], lag=1, ax=ax[0])\n",
    "    ax[0].set_title(f\"Lag 1, $r_1={acf_[1]:.2f}$\")\n",
    "    ax[0].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    pd.plotting.lag_plot(df_[\"y\"], lag=6, ax=ax[1])\n",
    "    ax[1].set_title(f\"Lag 6, $r_6={acf_[6]:.2f}$\")\n",
    "    ax[1].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    pd.plotting.lag_plot(df_[\"y\"], lag=12, ax=ax[2])\n",
    "    ax[2].set_title(f\"Lag 12, $r_{{12}}={acf_[12]:.2f}$\")\n",
    "    ax[2].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "loose-massachusetts",
   "metadata": {},
   "source": [
    "We see clearly that there is no correlation in the lag plots."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bronze-championship",
   "metadata": {},
   "source": [
    "Now let's look at some timeseries with more structure and see what the ACF looks like."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a3356df-abd3-416d-ae82-60abb8b80cd8",
   "metadata": {},
   "source": [
    "# AR(1) process - a time series determined by lag 1 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e983d0ae-1f5b-4833-b626-d4c9568d4114",
   "metadata": {},
   "source": [
    "We create a toy time series where there should be a correlation with lag 1 of the time series."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35c529ff-3519-4a55-bf4b-53f42aa508e7",
   "metadata": {},
   "source": [
    "$$y_t = \\phi_1 y_{{t-1}} + c + noise_t$$ where $$noise_{t}  \\sim  N(mean=0, std=1)$$ $$|\\phi_1| < 1 $$ $$c = constant$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c3012bc-0647-4481-ad9a-7e2f8e899929",
   "metadata": {},
   "source": [
    "The above is known as an AR(1) process where AR stands for autoregressive. AR processes like this are a class of toy time series which form the basis of a lot of theory for time series analysis. We only present what we need to know for the purpose of feature engineering!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6585752-0dee-4d62-a8dd-355f1cedda1b",
   "metadata": {},
   "source": [
    "The requirement $|\\phi_1| < 1$ is to ensure the timeseries is stationary (i.e., the mean and variance do not change in time). If $|\\phi_1| > 1$ then $y_t$ would grow exponentially as the process went forward in time (this will be easier to see in the equations below, be patient!), which would not be a stationary behaviour. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e40febbb-fc48-4bd1-94da-1a5ede7dd4bb",
   "metadata": {},
   "source": [
    "$c$ is just a constant that we can choose when creating an AR(1) process, for the rest of this section we'll just consider $c=0$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "888c43a5-426f-44fb-b393-290505c706a8",
   "metadata": {},
   "source": [
    "We might think that this means there is only a correlation with lag 1 of the time series $y$ but we will see that is not the case. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40244579-91b2-4c23-babc-cf91ff1681b7",
   "metadata": {},
   "source": [
    "Let's show that we will expect some correlation with lags greater than 1 (i.e., $y_{t-k}$ where $k > 1$). To simplify the point we're going to ignore the noise component for now ($noise_t = 0$). Using the the formula above we can write:\n",
    "\n",
    "$$y_{t-1} = \\phi_1 y_{{t-2}} $$ \n",
    "\n",
    "and plug that back in the equation for $y_t$:\n",
    "\n",
    "$$y_{t} = \\phi_1 (\\phi_1 *y_{{t-2}}) = \\phi_1^2 y_{{t-2}} $$ \n",
    "\n",
    "we now see that where is a relationship between $y_t$ and $y_{t-2}$ with coefficient $\\phi_1^2$. As $|\\phi_1| < 1$ this implies that $\\phi_1^2 < \\phi_1$, that is, the the dependence of $y_{t-2}$ on $y_t$ is smaller than $y_{t-1}$. We can repeat this process to obtain $y_t$ in terms of any lag $y_{t-k}$:\n",
    "\n",
    "\n",
    "\n",
    "$$y_t = \\phi_1 y_{{t-1}} $$ \n",
    "$$y_t = \\phi_1^2 y_{{t-2}} $$\n",
    "$$y_t = \\phi_1^3 y_{{t-3}} $$\n",
    "$$...$$\n",
    "$$y_t = \\phi_1^k y_{{t-k}} $$\n",
    "\n",
    "\n",
    "This shows us that we can relate $y_t$ to lagged versions of itself for lags greater than 1. We see that data further in the past gets less weight. This means that larger lags have less influence on $y_t$. This reasoning holds true even if the noise were non-zero. We shall see this decrease in influence from lags further in the past will be reflected in the ACF.\n",
    "\n",
    "Now consider if $|\\phi_1| > 1$ and look at the equations above. Given some starting point $y_0$ given $t$ steps into the future, using the above equation we get: $y_t = \\phi_1^t y_0$ - this is exponential growth into the future, certainly not stationary!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5325bbad-2be7-41bb-a48b-467e8ba29342",
   "metadata": {},
   "source": [
    "Now let's generate an example of a timeseries from an AR1 process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4b425a05-3cdc-4afc-ab10-6d7d67b1dc6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial parameters\n",
    "num_timesteps = 1000  # Length of time series we want\n",
    "np.random.seed(0)  # Ensures we generate the same random numbers every time\n",
    "phi_1 = 0.9\n",
    "ts = pd.date_range(start=\"2000-01-01\", periods=num_timesteps, freq=\"D\")\n",
    "\n",
    "# Generate time series\n",
    "y = np.zeros(num_timesteps)\n",
    "for t in range(1, num_timesteps):\n",
    "    noise = np.random.normal()\n",
    "    y[t] = phi_1 * y[t - 1] + noise\n",
    "\n",
    "df = pd.DataFrame(data={\"y\": y}, index=ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "80f8819e-6b45-48e5-80e5-473034883305",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time series\n",
    "ax = df.plot(figsize=[10, 5])\n",
    "ax.set_title(\"AR(1) process\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "587dbc7e-cc00-4e3f-bac2-cd1afb5c7666",
   "metadata": {},
   "source": [
    "Now let's plot the ACF and PACF for the timesere we generated from the AR(1) process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b885e1cd-8d8b-4088-8957-1d9ec38dea1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Lag')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9IQWlnyJ1MQ+QdpL5JrBfmbw9pID4NlIAvhG4AzivJN9U0hI0vy/63v6V1Pr40qJ8HyQFpKtIP8cPkX6/HFbys/Cd7DNvJf3MLwbeAaiW6+WHH8UPRdQ77MbMzKw2kk4ErgAOiYh7x3mOPUmB2QcjoqYWP6XdbpZFxMLxvKfZZOYxh2Zm1jQR8W1S69h523GaD5JayL/SkEqZWVVuOTQzs67jlkOz8XPLoZmZmZkVuOWwASQ9ABARXo3ezMzM2tpYcYuDwwaQlCMtHTDeZSXMzMzMJspc0uoGZXuQHRw2QD44nDt3bqurYmZmZlbV+vXroUpw6EWwG2PD3Llz5/b29ra6HmZmZmZVzZs3j/Xr12+odNwTUszMzMysoCODQ0nzJX1a0o2SNkoKSQtrKNcj6VRJ10l6SNJmSX+WdE62GbuZmZnZpNaRwSFwEHA2sA9pW6Ja7QB8DdiNtFXYe4BbgPOBHzW2imZmZmadp1PHHN4K7BYRayQdD1xTY7kB4PkR8duitP/OFkv9mKSFEbGooTU1MzMz6yAd2XIYERsjYs04yg2UBIZ5+eDy4O2rmZmZmVln69SWw0bbM3t+rNxBSb1jlPcaNmZmZtYVOrLlsAk+QFrA+metroiZmZlZK036lkNJ5wAvBv4hIsrucBIR88Y4Ry9uPTQzM7MuMKlbDiW9CfgE8F8R8dVW18fMzMys1SZtcCjpJcDlwHXAu1pcHTMzM7O2MCmDQ0lHkmYo/x44MSKGW1wlMzMzs7bQ1cGhpAMkHVCSdjBpwetlwLERsbUVdTMzMzNrRx07IUXSh7KX+bUJT5J0FNAbEV/K0m7InhdkZXYCfgrsDHwWeJWk4tPeERH17LhiZmZm1lU6NjgkbXlX7O3Z8wPAlyhvV2Df7PWnyxz/GPVtx2dmZmbWVTo2OIwI1ZBnQcnXy4Axy5mZmZlNVl095tDMzMzM6uPg0MzMzMwKHByamZmZWYGDQzMzMzMrcHBoZmZmZgUODs3MzMyswMGhmZmZmRU4ODQzMzOzAgeHZmZmZlbg4NDMzMzMChwcmpmZmVmBg0MzMzMzK3BwaGZmZmYFDg7NzMzMrMDBoZmZmZkVODg0MzMzswIHh2ZmZmZW4ODQzMzMzAocHJqZmZlZgYNDMzMzMytwcGhmZmZmBR0ZHEqaL+nTkm6UtFFSSFpYR/mDJf1E0iZJayV9Q9JuzauxmZmZWWfoyOAQOAg4G9gHuKOegpL2AX4NHACcA1wEHAv8TNK0BtfTzMzMrKNMbXUFxulWYLeIWCPpeOCaOsqeA8wCDo2IRwAk3QL8HDgJ+FqD62pmZmbWMTqy5TAiNkbEmnEWfz1wbT4wzM73C+AvwBsbUb9GG84FN9y9ki/e8FduuHslw7lodZXMzMysS3Vqy+G4SNob2B34Q5nDtwAvndgajW04F5x06WKWPNTL1oFhZk2fwqH7zuObpx3JlB61unpmZmbWZTqy5XA7zM+eV5Q5tgLYXdKU0gOSeqs9gLnNqvCie1ex5KFetgwME8CWgWGWPNTLontXNestzczMbBKbbMHhrOy5v8yxvpI8beHO5RvYOjC8TdrWgWHuWr6hRTUyMzOzbjapupWBrdnzjDLHZpbkKYiIedVO2szWw0P2msPMaT1sHcwV0mZNn8JT9prTjLczMzOzSW6ytRzmu5Pnlzk2H1gVEcNljrXMwoN25ynzR+LOWdN6OHTfeSw8aPcW1srMzMy61aQKDrMZyquBw8scPgJYMqEVqsGUHvG5Nz6j8PV5xx7iyShmZmbWNF0dHEo6QNIBJcnfBV6TzVzO5zsGeBJw1UTWr1bFgeDzD9zNgaGZmZk1TceOOZT0oezlwdnzSZKOAnoj4ktZ2g3Z84Kiop8E3gDcKOnfgdnA+4HbgcubWmkzMzOzNtexwSFwfsnXb8+eHwC+RAUR8ZCko4F/Az4NDAA/BN4bEQPNqKiZmZlZp+jY4DAixuxbjYgFFdLvBF7W6DqZmZmZdbquHnNoZmZmZvVxcGhmZmZmBQ4OzczMzKzAwaGZmZmZFXTshBQb23AuWHTvKu5cvoFD9prDwoN29xqJZmZmVpWDwy41nAtOunQxSx7qZevAMLOmT+HQfed5dxUzMzOryt3KXWrRvatY8lAvWwaGCWDLwDBLHupl0b2rWl01MzMza2MODrvUncs3sHVgeJu0rQPD3LV8Q4tqZGZmZp3AwWGXOmSvOcyctu23d9b0KTxlrzktqpGZmZl1AgeHXWrhQbvzlPlzC1/PmtbDofvOY+FBu7ewVmZmZtbuHBx2qSk94nNvfEbh6/OOPcSTUczMzGxMDg67WHEg+PwDd3NgaGZmZmNycGhmZmZmBQ4OzczMzKzAwaGZmZmZFTg4NDMzM7MCb59no3hPZjMzs8mr7uBQ0g7AAmBXYFTEEBG/3v5qWat4T2YzM7PJrebgMAsK/w04tUI5AQFMaUzVrBWK92SGbfdkPubgPVpcOzMzM2u2eloOvwCcBvwY+CWwpik1spaqtiezg0MzM7PuV09w+FrgfyPirc2qjLVefk/mrYO5Qpr3ZDYzM5s86pmtPBNY1KR6WJvwnsxmZmaTWz3B4R+AJzarIvWQNEPSZyQtl7RV0s2Sjqmx7IslLZK0RtI6Sb+T9MZm17lTeE9mMzOzya2e4PCDwKmSDm9WZepwGXAWcAVwJpADrpf03GqFJL0a+BmpO/084MPAMPAdSac1s8KdxHsym5mZTV71jDk8HXgYuFnS74D7SYFVsYiIpgZZko4ATgTOioiLs7TLgT8DnwFeUKX4u4AVwDER0Z+V/W/SZzkZuLR5NTczMzNrf/UEh6cUvX5+9igVpBnNzXQCMAhcUnjTiD5JlwIXSJofESsqlJ0DrMsHhlnZfknrgK3NrLSZmZlZJ6g5OIyIdtlq75nAPRGxqST9FtJai4eSWgfL+RXwr5LOJ3VNQwp6n0Tqpi5LUu8YdZo7xnEzMzOzjtCJ2+fNBx4pk54PCPeqUvYC4ADgXOBDWdom4DUR8fOG1dDMzMysQ41n+zyRWu/2z5LuB/4YEdHIilUxC+gvk95XdLySfuAvwFXANaTdXE4HrpR0TET8vlyhiJhXrUJZy+Kkbz30nsxmZmadr67gUNLLgS8D+5UcWibpjIj4acNqVtlWYEaZ9JlFxyv5d+AI4NkRkQOQdCVwJ3Ax5cdRWg28J7OZmVl3qHkcoaTnA9cCO5O20js9e3whS7tW0vOaUckSK0hdy6XyacvLFZI0HXgH8MN8YAgQEYPA9cARkjqxm70tFO/JHGy7J7OZmZl1jnommXwEeBR4SkS8NyIuzR7vBQ4BVmZ5mm0J8GRJs0vSj8yeb69QbldSS+mUMsemZcfcxDVO1fZkNjMzs85RT3B4JPDVcsvEZGn/DTynURWr4mpSMPeOfIKkGcCpwE0RsTxLe7ykJxeVWwX0Aq+TNK2o7GzgWODPWSuijUN+T+Zi3pPZzMys89TTjTod2Fjl+IYsT1NFxGJJVwEXSpoPLAXeRhoHeUpR1suBo8laAyNiWNJFwCeA30m6gtSKeBqwD/C+Zte9m+X3ZL71wXWA92Q2MzPrVPW0HN4NnFhuXF6W9qYsz0Q4mTTW8WTgi6SWxFdGxE3VCkXEBcBbSTu7nAecTwpqXxcR32lqjbuc92Q2MzPrDvW0HH4F+Cpwg6QLgbuy9EOA95O6nU9vbPXKi4i+7D3fXyXPwgrp3wK+1ZyaTW7ek9nMzKzz1bNDyiWSnkjqfj2qTJbPRoT3JjYzMzPrYHUt3RIRZ2d7GB8HPCFLvh+4NiL+0ujKmZmZmdnEqntdvywI/GwT6mJmZmZmLeZFn63lvO2emZlZ+6gYHEr6GhDA6dkyMF+r4XwREac1rHbW9bztnpmZWXup1nJ4Cik4/CfS0i+n1HC+IK0baFaT4m33YNtt9445eI8W187MzGzyqbjOYUT0RMSUiBgo+nqsR7mt6cwq8rZ7ZmZm7aWeRbDNGs7b7pmZmbWXmoNDSfdLek2V46+WdH9jqmWTRX7bvTxvu2dmZtZa9bQcLgBmVzm+I2l/Y7Oaeds9MzOz9tLIbuU9gC0NPJ9NEt52z8zMrH1UXedQ0guAhUVJr5N0YJmsuwAnAksaVjOzMXh9RDMzs8YbaxHsFwLnZa8DeF32KOc+4KwG1cusKq+PaGZm1hxjdStfTNpDeX9AwHuyr4sfC4DdIuJJEfGHZlXUrFjx+ojBtusjmpmZ2fhVbTmMiPXAegBJLwTuiojVE1Exs2qqrY/oxbPNzMzGr+a9lSPiV82siFk98usjbh3MFdK8PqKZmdn2qzk4BJA0FTgeOBLYmdHd0t5b2SZEfn3EWx9cB3h9RDMzs0apOTiUtAtwI/BU0vjDyJ4peu29lW1C5NdHXHjRIiCtj/iGw/f1ZBQzM7PtVM86h58Angy8AziAFAy+DDgY+F/g98Cuja6gWSXjXR9xOBfccPdKvnjDX7nh7pUM56JZVTQzM+s49XQrvwq4PCK+LikfBA5HxL3A30taBHwK+KcG19GsYbwEjpmZWXX1tBzuSWodBBjKnmcWHf8+UHHvZbN24CVwzMzMqqsnOFxL2j8ZYCMwCOxbdHyQNEml6STNkPQZScslbZV0s6Rj6ij/Fkm3SNosaa2kX0k6opl1tvZQbQkcMzMzqy84/AvwFICIyAF/BE7JArUdgJOB+xtfxbIuI+3GcgVwJpADrpf03LEKSvoE8A3gz1nZjwFLSS2j1uXyS+AU8xI4ZmZmI+oZc/gz4H2S3h0R/cC/Ad8mtSgGMAs4vfFV3FbWwncicFZEXJylXU4K9j4DvKBK2ecB5wCvj4hrml1Xaz9eAsfMzKy6eloOPwnsmQWGRMSVwAnAT4HrgbdExKWNr+IoJ5C6sC/JJ0REH3ApcJSk+VXKngn8PiKukdQjaXZzq2rtJr8ETt55xx5S02QUz3A2M7PJop4dUgLoL0n7HvC9RldqDM8E7omITSXpt5CW1zkUWFGh7DHAtyV9EvhnYLakB4BzI+J/mlRfazP1LoHjGc5mZjaZ1LVDSpuYDzxSJj0fEO5VrpCknUnrMJ4IDANnk7rE3wVcIWlLpa5mSb1j1Gnu2NW2TlU8wxm2neHsfZzNzKzbVAwOJZ08nhNGxOXjr05NZlHSgpnpKzpeTr4LeVfgORGxGEDSNcB9wEcAj0O0UarNcHZwaGZm3aZay+FlbLtFXi0CaHZwuBWYUSZ9ZtHxSuUA/pYPDAEiol/S1cCZkmaX6a4mIuZVq1DWsujWwy6Vn+G8dTBXSPMMZzMz61bVgsMXTlgt6rOC1LVcKp+2vEK5taQWx5Vljq0kBcFzgVHBoU1unuFsZmaTScXgMCJ+NZEVqcMSyrfyHZk9316uUETkJC0B9i5zeB/SOMS1DayndYn8DOeFFy0C0gznNxy+ryejmJlZV6pnKZt2cTUwDXhHPkHSDOBU4KaIWJ6lPV7Sk0vKXgXsK+klRWXnAG8EfhsRlbqkbZKrd4ZznpfAMTOzTlPXbGVJ+5J2FHkpsDvw8oj4paTHkRag/kpE/L7aObZXRCyWdBVwYbam4VLgbcB+wClFWS8HjmbbMZNfIQWV35X0eWAdcBowD/jXZtbbJh8vgWNmZp2o5pZDSU8A/gC8HrgTmJI/FhGrgcMpas1rspOBL2TPXyS1JL4yIm6qVigitpDGUv6AtM7hp4D1wIvHKmtWr+IlcIJtl8AxMzNrV/W0HF5A2sP4qaSZv6V/4X4MHNugelWV7Yjy/uxRKc/CCumPAic1p2ZmI7wEjpmZdaJ6xhy+GPhyRDxEWrKm1AOkiR1mxsgSOMW8BI6ZmbW7eoLDOVTelg5gOp2544pZU+SXwMnzEjhmZtYJ6gkOHwIOqXL8OaSdRsyMkSVw8s479pCaJ6N4lrOZmbVKPS193wP+UdKljLQgBoCk1wNvAM5rbPXMOtt4lsDxLGczM2uleloOLwAeBhYDV5ACww9K+h1wJWnx6c81vIZmk4xnOZuZWSvVHBxGxAbgucAlpGVrBLwEOAj4MvDCbBaxmW2HarOczczMmq2mbmVJU0jbzm2KiDNJ29c9jhQgro4ID4gya5D8LOetg7lCmmc5m5nZRKm15XAacD9pNxEgLXwdEascGJo1lmc5m5lZK9UUHGbdxY8Bm5tbHTPbnlnOZmZm26ueCSk/Bl7drIqY2YjxzHIGL4FjZmbbr56lbD4A/FzSN4CLgL96AopZ+/ASOGZm1gj1tByuAp5O2pd4CbBZ0nDJY6gZlTSzsXkJHDMza4R6Wg4vp/yeymbWBqotgXPMwXu0qFZmZtZpag4OI+KUJtbDzLaTl8AxM7NGqKlbWdLsrNv4Q82ukJmNz/YsgeOJLGZmlldTy2FEbJLUC6xubnXMbLzyS+AsvGgRkJbAecPh+445GcUTWczMrFg9E1JuBI5uVkXMbPuNZwkcT2QxM7Ni9QSH7weOkvQxSR7EZNYlvJezmZkVq2e28g3ATOBDwIckrQa2lOSJiDigUZUzs+bbnoksw7lg0b2ruHP5Bg7Zaw4LD9rdXdFmZh2unuDwQbyUjVnXyU9kufXBdUDtE1k8VtHMrDvVs5TNwibWw8xaZLwTWYrHKsK2YxW9rqKZWeeqZ8yhmXWp8Uxk2Z6xil46x8ysfdXTrQyApAOA44D9s6T7gR9ExNJGVmyMOswAPk7aym9n4Hbg3Ii4oc7z/Bh4BfCFiHhPo+tp1s3GO1bR3dFmZu2trpZDSecD9wAXAWdkj4uAeyV9vPHVq+gy4CzgCuBMIAdcL+m5tZ5A0quAFzSldmaTwHgX3fbSOWZm7a3m4FDS24FzgcXA8cATs8fxwO+AcyWd0vAajq7HEcCJwAci4gMR8VXgRaQJM5+p8RzTgc8DFzatomZdLj9WMe+8Yw+pqfXPS+eYmbW3eloO30UKDBdGxLURsTR7XAu8ELgF+OdmVLLECcAgcEk+ISL6gEtJ6zDOr+EcZwKzSK2eZjZO4xmrmO+OLlbP0jkeq2hm1lz1jDk8GPjXiBgqPRARQ5K+DXyqYTWr7JnAPRGxqST9FkDAocCKSoUl7Ql8GHhXRGyRxv5jlm0dWM3cMY6bWcZL55iZtbd6Wg4HgNlVju+U5Wm2+ZQP/vJpe41R/lPAvaTximY2wcbbHe2ximZmE6Oe4PD3wD9IGrWAmaTdgdNJ3c7NNgvoL5PeV3S8rGy84snAWRFRc39URMyr9gDW11F/s0lvopfOMTOz2tXTrXw+aQu9uyVdCtyVpR8CnEpqOXxrY6tX1lZgRpn0mUXHR1HqP/4C8N2I+L8m1c3MmsTb/JmZTYx6dkj5taTXAV8C/l/J4QeBt0XEbxpZuQpWkLqWS+XTllco91rgCOAcSQtKjs3J0lZGRNng0sxay2MVzcwmRl3rHEbEdcATgCNJy8mcSAq49o+IHza+emUtAZ4sqXT845HZ8+0Vyj2e9Hl/Cfyt6AGp5fNvwNENramZNYzHKpqZTYy6d0iJiBxp/OHvG1+dmlwNvA94B3AxFHZMORW4KSKWZ2mPB3aIiHuyctcBy8qc7xrgh6SlcG5rZsXNbPs0eqyi94A2Mxut5uBQ0jHAiyPiXysc/xTws4i4sVGVKyciFku6CrgwW9NwKfA2YD/glKKsl5NaApWVW5rlLa03wNKI+H4z621mreGximZm9amn5fBsqs/KfUKWp6nBYeZk0gSZk0l7K98BvDIibpqA9zazDuKximZm9alnzOEzgJurHF+c5Wm6iOiLiPdHxPyImBkRR0TEL0ryLIyIMX+DR4Qi4j1Nq6yZtZTHKpqZ1aee4HAusLnK8a2kVjwzs7bidRXNzGpXT3D4CPCsKsefBTy6fdUxM2sP27MHtJlZJ6snOPwR8DZJLy49kE1WeRvw40ZVzMyslfJjFfPqGat4w90r+eINf+WGu1cynKt5MyYzs7ZQz4SUC4DXAz+VdD1pvUGAQ4FXkFoNz29k5czMWiU/VnHhRYuANFbxDYfvW7VL2pNYzKwb1LNDykpJzwO+QgoGX5k/BFwPvDsiVjS+imZmrVHvWMXiSSyw7SQWr6loZp2irkWwI+IB4JWSdgYOzJLvi4h1Da+ZmVmH8YLbZtYN6t4hBSALBlu1Q4qZWVvygttm1g3qDg4lvRB4LbB/lnQ/cE2zd0YxM2t3XnDbzLpBzbOVJfVI+ibwC+DdwMuzx7uBX0i6XNledGZmk5EX3DazblDPUjb/D3grcDVphvKs7HEocGV27L2NrZ6ZWWfxgttm1unq6VY+BfhZRLypJP0O4M3ZJJW3A59rUN3MzCYFj1U0s3ZST3C4P/DlKsevAy7avuqYmU0+HqtoZu2knm7lzUC1tRj2pPrey2ZmVobHKppZO6knOPwN8G5Jh5QekPQU4F3ArxtVMTOzycRjFc2sXdTTrfwR4Gbgj5J+ANyVpR8CHAsMAOc1tnpmZlaJxyqaWTPUs33enyQdDXyBtMfy64sO/xY4MyL+1OD6mZlZBR6raGbNUE+3MhHxh4h4Pmns4XOyxx4RcVRE3NqMCpqZWXkeq2hmzVDPItgnS1oAEBGrI+KW7LE6O75A0slNqqeZmZXhsYpm1mj1tBx+HXheleNHZnnMzKyN5ccqFqtnrOINd6/kizf8lRvuXslwLppVTTNrkXompIz17+g0IDdGHjMzazGPVTSzauoacwiU/RdR0jzgVcCK7a2QmZk1l8cqmlk1VVsOJZ1HWsIGUmB4haQrqhSZkK3zJM0APg6cBOwM3A6cGxE3jFHudcCbgCNIk2oeJO3s8omIWN/USpuZtZFGj1U85uBqeyRUXzonIrLnkRaIQlqWnl6P5CtW6Xi5c5WWoaRsufLF56h4npJzlGYsbVkZ9RnKtL2U5il3nnL1q6SGLNZktXwP5u04jTkzpzW/MlWM1a28BLic1KV8Mmkh7PtL8gSwibQG4v82uH6VXEZaSudi4D7Svs/XSzo6In5XpdxXgeXAN0mB4dOAfwFeIenwiOhrYp3NzEaJCHIBw7mRUTn9Q8P0DQ6TiygETPl8RAok8unrtgwUyq3Z1M/0qT3ZsZQnf470XiPpK9ZvLZR7YM0W+oeGi/Jsmzf/evaMqUyf2kP/0EhdZ0zrYdb0KSx5qJeIKArIgKz8cC44/0d3cd/KTfQP5ZgxtYcDd5/NOa88GMnd0WbFpkxReweHEfED4AcAkvYjtbBVbZ1rNklHACcCZ0XExVna5cCfgc8AL6hS/ISIWFRyvluBb2TnvKzxNTazdhIRDA3nyBUFTrmI7DEShOUiWLO5v1Bu1YY+JLYJuPJlYKTMit6R/zHveXQDazcPpPzZe6dyFAKpfOC2euNIubuWb2D1xpGgr5ricg+u3bLNgtjVy418trWb+2tqOTxoj53Yb9cd+MvKTQBMn9rDAY+bzcF7zhnVoljstgfW8dcsMAToG8rx11Wb+OODvRy238411dfMJk49i2C/sJkVqcMJwCBwST4hIvokXQpcIGl+RJQd+1gaGGauIQWHBzehrmZWo+FcCtCGc1lrU+F1eh6O4LFNIwHNivVbC2VyRQFdvnz+dS5gZVEr2ZKHenmkt7ZOguLA65HerQwMj90ntLFvsPB668AwW6oETZ2mp0eccfQBvOfK2wE45bn7cfSTdqdnjMBy2ZrN27Q2AgwM5Vi2ZrODQ7M2VHNwKOnxteSLiAfHX52aPBO4JyI2laTfQur+PpT6JsbsmT0/VimDpN4xzjG3jvcz62jDuSgEZcWtRb1bBpgxrYdcLgV2udxIUJfL5btOU7nlvSPB2u0P9/Lwuq3l3mqU4mDt0fV9DNe4PsKQl1tpmOJA8Kl7zx0zMARYsOuOTJ/aw0BRgDh9ag8Ldt1xzLK5XLDkoV6WrdnMgl135NB959X0nmY2fvUsZbOMymNhi00ZX1VqNh94pEx6PiDcq87znQ0MA9/bnkqZtbuh4RxDWXA2lAuGh6Pw9coNI0HXA2s2s2VguBDIDRUFg/lWubziYO1vj21mU39trWR9gyP5cg7cut6h+85jQUl39IG7z+bQfedVLZfLBZ+8/m7uW7WJgaFcodw5rzjYAaJZE9UTHH6c0cHhVOAA4DjgT8D1DapXNbOA/jLpfUXHayLpLcBpwKciYmmlfBExb4zz9OLWQ2uyKArUBodz2XP6eiiXY2g4tmmBu3vFBlZv6i+09FWbJVcc5K3dPMCUnnpXuTKrbLzd0Use6uW+VSNjFfuHcty3ahNLHvJYRbNmqmfM4UcrHZO0P/A74A8NqNNYtgIzyqTPLDo+Jkl/B1wK/Aj4cGOqZla7fEve4HAK7AaHcwzm0mSJh9ZuKeS7a/l6Ht3Qx1AN493WFk2g6Bscpr/GyQlmzTae7ujtGavo7miz8aun5bCiiLhf0n8BHyMFW820gtS1XCqftnysE0h6BnAtcAfwpojonhHj1lLDuWBgKMfAcI7B4Ryrirprl67exLotAwwOj8yWrWTt5pGZqv1DuZoCQ7NuM96xiu6ONts+DQkOM48AT2ng+SpZApwpaXbJpJQjs+fbqxWWdADwE2AV8KqI2NyUWlpXyRX1ya7dPEBPjxgcSgFgf/ac7+ItVtxdu2HrIDOmNntIrln3GO9YRXdHm22fRgaHxwPrGni+Sq4G3ge8g7QIdn7HlFOBmyJieZb2eGCHiLgnX1DSnsDPSHtAvywiKs5QtskjlwsGsiAv3+rXPzjMwHD29VBum9m1+QkbZtZcrVg6x93RZvUtZfORCod2AV4EPBW4sBGVqiYiFku6CrhQ0nxgKfA2YD/STil5lwNHk5a3yfsJsH9Wz6MkHVV0bOkYu6tYh4oI+ody9A/m6Bsa5pHekfF8f36k9mVUzGziTeTSOe6ONkvqaTn8aJVjjwIfIu1QMhFOBs7PnncmjR18ZUTcNEa5/E7zHyhz7BukSTXWgXIRbO4fon8oR99g2nos/7p/KFey/MrIpI1Bj+Uz6zrujjbbPvUEh08okxbA2vzYv6x7t+n9bdkeyO/PHpXyLCyT5n/9OtzAUC7tOjE4tM2M3tsf6uVxO82sUtLMJgt3R5ttn3qWsnmg0jFJzyKtF/gmYNcG1MsmucHhHFsGhrPtx4bYMpBaA4tb+oq3UjMzK+buaLPxG/eEFEm7AH8PvB14Gmls318aVC+bJCJim90y/rpqIys39Lm718wmnLujzZK6t0GQ9DJJ3yEtXfN50oLUHwOeFhFPbnD9rMsMDefo3TLAQ2u3cNfyDfzhgXXcvWJD4fimviEHhmbWEvnu6LxTnrtfTa1/1bqjzTpRTS2HkhaQWgjfBuwDPEZaUuYtwLkR4X2JbZSIYMvAMJv6h9jYN8Sm/iG2egkYM2tjE90d7XGK1o6qBoeS3koKCo8mTTT5IfDPwI9JS8e8tdkVtE4y0uJ336pNrFjfN2pRaDOzbjOe7miPU7R2Nla38jdJQeB7gL0i4vURcW1EDDW9ZtYRhnPBY5v6uW/VRu54eH0hfWPfoANDM5sUxtMdXTxOMdh2nKJZq43VrdwPLACOA9ZJ+l5EeMXgSa5/aJh1mwdZt2WADVsHC3sEOxg0s8mq3u7o7Vk2x6zZxgoO5zMyI/mbwJclXU1aMHp5k+tmbWRz/xBrNw/Qu2WQTf1uODYz2x7jHadoNhGqBocR0Qt8CfiSpMNIaxm+mbRN3WrSILO5za2itdLD67awelM//YO5sTObmVlNxrtsDngiizVfPYtg3wbcJum9wOtJgeJC4BJJZ5JmL18TEXc2o6LWfBHB+q2DPFi088jqjf3eecTMrMHGu4uLJ7LYRKh7ncOI6I+Ib0XEMcABwAWk/Y0/Dtze4PpZk0UE67cMsnT1Jm59YB13r9jIGu88YmbWdONZNscTWWwijHuHFICIWAZ8RNJ5wMtIYxOtzUUEG7YO8djmftZtHvCi02ZmHcITWWwibFdwmBcRAfwke1hbSi2Eazb3s9YBoZlZR/JEFpsIDQkOrV2NBIB/eng9O+84o4V1MTOz7bU9E1nMalX3mENrb/kxhPev3sSfihalHvIahGZmHW+8+z9Dmsxy2wPr+N5tD3PbA+vI+e+CVeCWwy6xoW+Qxzb2s27LAAND6QfeAaGZWfcZz0QWz3K2erjlsEssXbWJlRv6C4GhmZlZnmc5Wz0cHJqZmXW5arOczUo5ODQzM+ty+VnOxTzL2SpxcGhmZtbl8rOc8zzL2apxcGhmZtblPMvZ6uHZymZmZpOAZzlbrTqy5VDSDEmfkbRc0lZJN0s6psaye0u6UlKvpA2Svi/pCc2us5mZWafxLOfJqSODQ+Ay4CzgCuBMIAdcL+m51QpJmg3cCPwdcAFwHnAYsEiSN6U0MzMr4lnOk1PHdStLOgI4ETgrIi7O0i4H/gx8BnhBleJnAAcCz4qIP2Zlr8/KngV8pHk1NzMz6yzbs5dzLhcseaiXZWs2s2DXHTl033nuiu4QHRccAicAg8Al+YSI6JN0KXCBpPkRsaJK2ZvzgWFW9h5JNwBvZDuCwwh4aO2W8RavasX6rWVfF1u1oW/Uf3drNvWXfT0Wl2vte7lcZ5frhDq6XHuU64Q67j1vJnvPncnf1qS/b9OniP123YG9581k9ca+iuVyueDLv1rKsjVbCmMVF+y6A2ccfYADxDFMm6KmT/qJMU6vGCtHm5H0c2CPiHh6SfoxwC+AV0bE9WXK9QBbgK9GxL+UHDsfOBeYHRGjIjxJvWNUa65m7Mjj3/Oduj6LmZmZ2UR78OI3Ef2b10fEvHLHO3HM4XygXMtgPm2vCuV2AWZUKavs3GZmZmaTVid2K88CyrWH9xUdr1SO8ZStFFnnSerdacbUub/5wAurZWuqu5avH9WtbGZm1gp/fmQ9l/3ugVFjFU957n48de+5Vcuu3tjH+T+6B4A3P3sfjnzCrjV1Ra/Z1M/Hfng3AOe9+mB2nT2jprq2W7m95s1ijzkzazrXeD31K1PZUGVkQScGh1tJLYClZhYdr1SOcZYdkwT77rLD2Bmb5LFN/fQNOjg0M7PWO/pJM7hp6ZpR6yMe/aTdqwZ6uVzwpRvvK3z93T8u545HNtS0rmLxOL0V6/t40h5z6h7fuOvsGTxup/oDs0aWmz9vFnvPq9TO1Rga47J0YnC4gvLdv/m05RXKrSW1GlYqG5TvcjYzM7M69PSIc15xcN2zlVP+kaH/A0XrKh62X+UV5/ITYPIu+90D3LR0jRfrHqdOHHO4BHhytmZhsSOz59vLFYqIHPAn4PAyh48E/lpuMoqZmZnVr6dHHLbfzrzusH04bL+dawrSlq3ZzOA41lWsFlSOpbjF8c+PrPf2gHRmcHg1MA14Rz5B0gzgVOCmiFiepT1e0pPLlH2OpGcWlT0IeBFwVbMrbmZmZpXl11UsVsu6iuMNKsu1OH7y+rsnfYDYccFhRCwmBXIXZlvonQ78EtgPOLso6+XA3SXFvwzcD/xY0vskvQf4Oak7+fPNrruZmZlVdui+8zhw99nMmNqDgBnZWMVD951Xtdx4g0q3OJbXiWMOAU4Gzs+edwbuIK1veFO1QhGxUdJCUiD4YVJwfCPwnohY08wKm5mZWXXjHauYDypLJ8CMFVRWa3GczGMcOzI4jIg+4P3Zo1KehRXSHwbe0JyamZmZ2fbIj1WsFpyVKzOeoDLf4thf5/aA4504A6NbHI9+0oy2Cyg7rlvZzMzMrNR4JsCMtxu728c4dmTLoY02pc3+6zAzM2t3ndTiOJEcHHaJp+09lw1bh3hscz/rNg8wONxe/4WYmZm1o/F0Y0/0GMeJ5uCwS0hi7g7TmLvDNGK3YP3WQdZsHnCgaGZm1mAT3eI40RwcdiFJzNthOvN2mO5A0czMrAkmssVxojk47HIOFM3MzNrDeFscJ5qDw0mkXKD42KYB1m0ZYMiBopmZWdONp8Vxojk4nKS2CRTDgaKZmZklDg5tm0AxlyvqenagaGZmNuk4OLRt9PSInXeczs47phbFDX1DrNs8wNotA/QP5sY+gZmZmXU0B4dWkSTmzprG3FnTWMCObBkYYu3mAdZtHmRT/1Crq2dmZmZN4ODQarbD9KnsMH0q++wM/UPD9G4ZZO3mATZsHaTNdv4xMzOzcXJwaOMyY+oU9pgzhT3mzGQ4F/RuSWMUe7cMeokcMzOzDubg0LbblB6x6+wZ7Dp7BhHB5oFhNvUNsal/kI19Q/R5rKKZmVnHcHBoDSWJ2TOmMnvGVGAmkPaN3NQ/xKa+ITb2D7K5f5hh90ObmZm1JQeH1nTTp/awy9Tp7LLjdAAigi0Dw2x066KZmVnbcXBoE04SO86Yyo5FrYuDwzm29A+zZXCIrQPDbBkYZuvgsNdZNDMzm2AODq0tTJvSw9wdepjLtG3S+4eG2ZoFilsGRl47aDQzM2sOB4fW1mZMncKMqVOYV5KeDxq3DAzTNzhM32CO/qFh+odyhONGMzOzcXNwaB2pEDTusG16RNA/lKN/MEff0LaBY99gzhNhzMzMxuDg0LqKJGZOm8LMaVNGdVFDmjmdDxQHhnP0Dw4zMJxjYCg9vEajmZlNdh0ZHEqaB1wIvBbYAVgMvDciloxRrgd4G/A64FBgF+BvwLeAz0VEf9MqbW1h+tQepk/tYaeZ5Y8P56IQKOa7qfPBY3+W7tZHMzPrZh0XHGYB3o+ApwEXAWuAM4BFkp4VEUurFN8B+BpwM/CfwCrgucD5wIuAFzex6tYBpvSIWdOnMGv6FCjT8ggpgBwcTsHi4HD2GAoGhocZGErHBoZznjRjZmYdqeOCQ+AE4HnAayPi+wCSrgT+ApwHnFyl7ADw/Ij4bVHaf0taBnxM0sKIWNSMSlv3mNIjpvSkrutqcrlgIAseB4ZyDGVB5dBwZEFlMJTLFV57Io2ZmbWDTg0OlwM/yCdExOosQHyzpGkRMViuYEQMAL8tc+ga4GPAwcCihtfYJqWeHjGzhiAyb2g4BZD5Vseh4RyDuSikD2XBZHpO6e7hNjOzRuvE4PCZwK0Ro9pZbgFOBw4E7q7znHtmz4+VOyipd4zyc+t8P7NRpk7pYeoUag4mIbVODuZyWVd3MFwUTA5nj+LX6etc4bWDSzMzK9WJweF84Jdl0ldkz3tRf3D4AWA98LPtqJfZhOvpETN6ag8mS+WKgsehXI5cDoZj29e5oiAzF9sGmsXHHWiamXWHlgaH2eSS6bXkjYi+7OUsoNys4uLj9dThHNJElH+IiPUV3nveGOfoxa2H1oF6esT0HmVfjT/IhLTG5EjAmALL4VyUTR8JKPMBJ4XAM6WxTVkHnmZmE6fVLYcvAG6sJaOkx0XEY8BWYEaZLPnFSbbW+uaS3gR8AviviPhqreXMbDRJTJ2ipvxSiaKAMR9QFgeQuUjBZS438jody15Hab70nD+eP19xHk8QMrPJqtXB4T3AqTXm3Zg9ryB1LZfKpy2v5WSSXgJcDlwHvKvGOphZC0hiitJM8YmSK2rFDEYCyZGAMgWTo75m9PFCWUbOESVf54ry5t8vGAlYKUrL5SI7NmGXw8wmkZYGhxHxKHBZncWWAM+TpJJJKUcCm4D7xjqBpCNJM5R/D5wYEcN11sHMulxPj+hh4oLR8SoOUPMBYz64hPLBZiFfUQvpqGOkAkHl8+TTt3kuykPJOQs5tnnPkXKF9yk517afd3T+4vrnXxcfoyi1OP+oc5aUH30Os8mh1S2H43E1aTmb44DvA0jaDXgD8IPiZWwkHQBQvDC2pINJi2gvA46NiJq7oc3M2o0kJDoikO10xe0RxUFjVMgz+ljJ+SjJW0cgOlbe0nPXW34yapdLMn1KT6ur0LHB4c3A5ZIuIi0/cwbQA3y0JO8N2fMCAEk7AT8FdgY+C7xK2uYX6h0RcUezKm5mZp2r+O+FKsbiDtKt83VccBgRw5JeSQru/oU0O/kW4OSIGKtLeVdg3+z1p8sc/xjg4NDMzMwmLY1eS9rqJal37ty5c3t7e1tdFTMzM7Oq5s2bx/r169dXWqqv9R3bZmZmZtY2HByamZmZWYGDQzMzMzMrcHBoZmZmZgUODs3MzMyswLOVG0BSDtDcuXNbXRUzMzOzqtavXw8QEVG2kdDBYQNIGiK1wm5o4tvkI8/1TXyPTuTrMpqvSXm+LqP5mpTn6zKar0l5nXpd5gC5iCi73rWDww4hqReg0ppEk5Wvy2i+JuX5uozma1Ker8tovibldet18ZhDMzMzMytwcGhmZmZmBQ4OzczMzKzAwaGZmZmZFTg4NDMzM7MCB4dmZmZmVuDg0MzMzMwKvM6hmZmZmRW45dDMzMzMChwcmpmZmVmBg0MzMzMzK3BwaGZmZmYFDg7NzMzMrMDBYZuTNEPSZyQtl7RV0s2Sjml1vVpJ0kJJUeHx5FbXr9kkzZf0aUk3StqYfe6FFfK+RtJtkvokPSjpPElTJ7bGE6PW6yJpWYV759MTX+vmkvRsSf8h6S5Jm7N74NuSDiyT93mS/k/SFkmPSvqCpB1aUe9mqvWaSFpU4T75dqvq3kySDpd0jaQHsr81j0r6iaTnlck7We6Vmq5JN94rXflHostcBrweuBi4DzgFuF7S0RHxu9ZVqy1cDNxakra8BfWYaAcBZ5PuhzuAUb+8ASS9Avg+8Evgn4GnAR8Bdsu+7jY1XZfMraT7p9ifm1OtljobeD5wFema7Am8G/ijpCMi4m4ASYcCNwB3Au8F9gHeB+wPHDvx1W6qmq5J5kHg3JLyyyaiki1wACkm+G9gBTAPeCvwa0mviIifw6S7V2q6Jpnuulciwo82fQBHAAG8pyhtJumP369bXb8WXpeF2XU5vtV1adHn3wnYNXt9fHYtFpbJdycpCJpSlPYJYBh4Yqs/RwuvyzLg+62u7wRdk+cB00vSngj0AZcVpf0YeBiYXZT2juwavqjVn6NF12QRsKTV9W3xtdoBeBT44WS8V+q4Jl13r7hbub2dAAwCl+QTIqIPuBQ4StL8VlWsXUjaqVu7SSuJiI0RsaZaHklPAZ4C/FdEDBcd+jJpOMnrm1jFlqjluhTLhmx0XVdYsYj4bUQMlKT9lfSPw8EAkuYALwEuj4hNRVkvBzYBb5yg6k6IWq5JMUlTJc2eqPq1k4jYAqwmtZhNunulnNJrUqyb7hUHh+3tmcA9JT+EALcAAg6d8Bq1l28CG4Ctkn4m6WmtrlAbeWb2/IfixIhYTvqv/5mjSkwuLwU2A5slLZV0eqsrNFEkCdgDeCxLehqp66z0XhkAljAJ7pUy1yTvYNJ9sjEb932OpK7+u5n9w72bpIMkfRJ4KqkbGSbpvTLGNcnrqntlUrW4dKD5wCNl0ldkz3tNYF3ayQBwNXA96Zf500ljXv5P0rMj4i+trFybyLcqryhzbAWT996BNM7sN8BfgMcB7wT+S9IuEdF1k1LKeCuwNyPjo8a6V547EZVqsdJrArCUNF73T8Ac4M3ABcDjgX+c6ApOoK8z0rMwAPwn8Mns68l6r1S7JtCF94qDw/Y2C+gvk95XdHzSiYjfAr8tSrpW0nWk/2bPI/2in+zy90al+6eru1OriYjXFH8t6evA/wEflvSViFjfmpo1n9Js/v8gfd5vZslj3Std/XumwjUhIk4ryfoNSVcCp0v6fETcO4HVnEgfA/6LNNHkJGAGMI10f0zWe6XaNenKe6Vjmzwnia2km7DUzKLjBkTE7cAvgEm9zE+R/L1R6f7xvZPJxmReTAqYu7XlA0l7Aj8C1gFviIhcdmjS3itVrkklnyMN6Xlhs+vWKhHxp4j4eUR8HXgZ8CzSqhkwSe+VMa5JJR19rzg4bG8rGGnGL5ZPmwzLttTjIWCXVleiTeS7fSrdP753tvVQ9tyV94+kuaRhGHOBl0XEo0WHJ+W9MsY1qaSr75NSETEI/AB4naRZTNJ7pViZa1JJR98rDg7b2xLgyWVmPx2ZPd8+sdVpe/uTZpFZuncADi9OlLQXqWtkCVZs/+y56+4fSTOB64AnAa8u08X1Z2CI0ffKdNKktyXNr+XEquGaVNK190kVs0gtYDsxCe+VCoqvSSUdfa84OGxvV5PGNbwjnyBpBnAqcFM283TSkfS4MmlHkZrvfzrxNWo/EXEncA9pzMuUokP/BOSA77akYi0maZfSGYRZoPB+YCPQVQvLZ9/775C6y98QETeX5snGWP4COKnkH9GTgNmkxaK7Ri3XRNKc7HdtablzSD8/v5iIuk6kCr9X5wBvAB6KiFWT8F4Z85p0673iCSltLCIWS7oKuDBb03Ap8DZgP9JOKZPVdyRtIU1KeYy0rMDp2euPtrBeE0bSh7KX+XXZTsoC5N6I+FKW9n7gWuCnkr5Duk7vJq192JUzumu4Lq8BzpV0NWkx7F1JP1NPAv6pzLJRne5zpM98HbCLpL8vOrYpIr6fvT6X9PO0SNIlpNbl/wdcHxEd+cetilquyWHAtyT9L2nTgdmkNfwOBz4TEX+b2CpPiO9I6iPdB48C+5IaIvYBTizKN5nulVquSXfeK61ehduP6g/SIN/PksZ69JHWOHxxq+vV4mvyL8BiYA1pkfBHgK8Bj2913SbwGkSFx7KSfMcDf8zunYdIs+6mtrr+rboupIHk15HWeuwnrZO5iNS12PL6N+F6LKrjXjkKuIk0qWAl8EVgx1Z/hlZcE+AJpFawZdn12Jz9znlbq+vfxOvy9uzarMp+r67OflaOLpN3stwrY16Tbr1XlH04MzMzMzOPOTQzMzOzEQ4OzczMzKzAwaGZmZmZFTg4NDMzM7MCB4dmZmZmVuDg0MzMzMwKHByamZmZWYGDQzMzMzMrcHBoZtZkkhZKCknva3VdzMzG4uDQzMzMzAocHJqZmZlZgYNDM7M2IGknSZ+QtFjSY5L6Jd0n6dOSdiiTf1dJX5O0RtImSb+U9ExJiyQta8FHMLMuMbXVFTAzMwD2Bt4BfBf4FjAEHA18AHgm8LJ8RkkzgF8AhwKXAbcAT8/S1k5gnc2sCzk4NDNrD/cD+0bEYFHaf0g6H/iQpCMi4pYs/TRSYPihiLggn1nSn4D/AB6YoDqbWRdyt7KZWRuIiIF8YChpqqSdJe1Gag0EOLIo+7HAMPCFktNcAqxvemXNrKs5ODQzaxOSzpB0B9BP6h5eDSzKDu9clPUJwPKI2FRcPiIGgL9NQFXNrIu5W9nMrA1Iei/wOeBnwBeB5cAAaSziZfifeTObIA4Ozczaw0nAMuAVEZHLJ0p6eZm8y4AXS5pd3HooaRqpVbG3qTU1s67m/0TNzNrDMBCA8gmSpgIfLJP3OmAKcGZJ+juBuc2qoJlNDm45NDObOMdImlkm/THgauBTwPWSvgfMAd4CDJbJfwnwD8AnJB3IyFI2bwTuw7/bzWw7+BeImdnEeXn2KHUvcAip1fA00izkR4HvAF8H7irOHBH9ko4BPgscRwoKFwPHkALHUYtmm5nVShHR6jqYmVkDSJpCaoVcHBHlglAzszF5zKGZWQeSNKtM8j8C84CfT2xtzKybuOXQzKwDSboCmAn8lrQu4nNJYxSXAodFxMYWVs/MOpiDQzOzDiTpZOBdwJOA2cBK4MfAhyNiZSvrZmadzcGhmZmZmRV4zKGZmZmZFTg4NDMzM7MCB4dmZmZmVuDg0MzMzMwKHByamZmZWcH/B0pr7ottFulOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of AR(1) process\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8beaa8a2-73b7-43e3-af70-5b6bcf73c1dd",
   "metadata": {},
   "source": [
    "As expected we can see the ACF is large and significant for many lags and we will see that it decays rapidly compared to a time series which has a trend. In fact it is possible to calculate the ACF analytically for an AR(1) process and can be shown to be: $ corr(y, y_{t-k}) = r(k) = \\phi_1^k$ (i.e., exponential decay) [[1]](https://online.stat.psu.edu/stat510/lesson/1/1.2).\n",
    "\n",
    "So we see that it is not possible to determine that only a lag of 1 that is the most important from the ACF, despite $y_t$ being generated only by $y_{t-1}$. We shall see later in this section of the course that the partial autcorrelation function (PACF) will help identify that a lag of 1 is important in this scenario."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddfa49cd-2700-4f3a-8305-8423c81f1df9",
   "metadata": {},
   "source": [
    "Note: Autoregressive (AR) processes is a big topic in time series analysis. We cover only what we need to know for the purpose of feature engineering."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f8909c-4fb1-4c61-9e91-83b47780c0a3",
   "metadata": {},
   "source": [
    "More generally, an AR(P) process is when $y_t$ is determined by p lags:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ce08869-3b39-4325-97e1-054a72caaafc",
   "metadata": {},
   "source": [
    "$$y_t = c + \\phi_1 y_{{t-1}} + \\phi_2 y_{{t-2}} + ... + \\phi_p y_{{t-p}} + noise_t$$ where $$noise_{t}  \\sim  N(mean=0, std=1)$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce825e89-bbba-4801-8f66-9dd881bbf96c",
   "metadata": {},
   "source": [
    "For AR(1) we required $|\\phi| < 1$ for the process to be stationary. The requirements for the coefficients $\\phi_i$ to ensure the AR(p) process to stationary is more complex and out of scope for this course for the purpose of feature engineering."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdea7cc5-fa6e-47dd-8f71-7f250ba1efa2",
   "metadata": {},
   "source": [
    "Some useful references if you want to study AR processes in more depth would be:\n",
    "\n",
    "1. https://online.stat.psu.edu/stat510/lesson/1/1.2\n",
    "2. https://otexts.com/fpp3/AR.html\n",
    "3. George, E. P. \"Box. Time series analysis: forecasting and control.\" (1970). \n",
    "4. Brockwell and Davis, 2010. Introduction to Time Series and Forecasting, 2nd edition.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "graphic-shift",
   "metadata": {},
   "source": [
    "# Time series with trend and seasonality"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d905ff1e-bbdb-4b7e-81ac-06fa0a126102",
   "metadata": {},
   "source": [
    "Let's assume that we do not know that there is seasonality with period 12 (i.e., yearly) in the data. We shall show that lag plots and the ACF can help highlight the period of the seasonality and therefore suggest a useful lag (i.e., a seasonal lag with the length of the period - e.g., 12 for yearly seasonality). If we knew the seasonal period beforehand we would go ahead and just use a lag with the seasonal period."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "transsexual-savage",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load retail sales dataset with the artificially added outliers\n",
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "understanding-gnome",
   "metadata": {},
   "source": [
    "Let's plot the time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "commercial-incidence",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(y=\"y\", marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax.set_title(\"Retail sales\")\n",
    "ax.set_ylabel(\"Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fresh-nickel",
   "metadata": {},
   "source": [
    "Let's compute the ACF and get the output as an array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "binding-liquid",
   "metadata": {},
   "outputs": [],
   "source": [
    "acf_ = acf(df[\"y\"], nlags=36)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "specific-foundation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot example lag plots\n",
    "fig, ax = plt.subplots(nrows=1, ncols=3, figsize=[12, 4])\n",
    "\n",
    "with sns.plotting_context(\"paper\"):\n",
    "    pd.plotting.lag_plot(df[\"y\"], lag=1, ax=ax[0])\n",
    "    ax[0].set_title(f\"Lag 1, $r_1={acf_[1]:.2f}$\")\n",
    "    ax[0].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    pd.plotting.lag_plot(df[\"y\"], lag=6, ax=ax[1])\n",
    "    ax[1].set_title(f\"Lag 6, $r_6={acf_[6]:.2f}$\")\n",
    "    ax[1].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    pd.plotting.lag_plot(df[\"y\"], lag=12, ax=ax[2])\n",
    "    ax[2].set_title(f\"Lag 12, $r_{{12}}={acf_[12]:.2f}$\")\n",
    "    ax[2].ticklabel_format(style=\"sci\", scilimits=(0, 0))\n",
    "\n",
    "    plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a398634-9d4d-40a6-b233-b92ba0e5cc1e",
   "metadata": {},
   "source": [
    "We can see that the lag plot shows far more linear correlation at lag 12. However, in practice we may miss this when plotting many lags. The ACF allows use to condense the linear correlation in the multiple lag plots into a single plot."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "correct-pledge",
   "metadata": {},
   "source": [
    "Let's plot the ACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "novel-athens",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df[\"y\"],\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of retail sales\")\n",
    "ax.set_ylabel(\"Autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "celtic-roman",
   "metadata": {},
   "source": [
    " - The autocorrelation is one at lag 0 as expected.\n",
    " - The autocorrelation decays slowly due to the strong trend.\n",
    " - There are peaks at multiples of the lag of 12. This suggests there is seasonality with lag 12."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "favorite-mentor",
   "metadata": {},
   "source": [
    "In summary this would suggest that we could create features using a lag of 12 (from the seasonality). If there is a strong trend component in the data then recent values (i.e., low lags) will also be helpful. So we should also consider using a lag of 1 or 2."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7399e007-84c5-462f-8892-851123aa14b3",
   "metadata": {},
   "source": [
    "We see above that the trend overwhelms the ACF. We might get more information if we de-trend the data first. Let's try this."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cultural-truth",
   "metadata": {},
   "source": [
    "# ACF after detrending the original series"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fcb9f7e-c49f-4d95-82be-db87f6a4fdde",
   "metadata": {},
   "source": [
    "For this example we are assuming we do not know the seasonality ahead of time. So we will use LOESS rather than STL (which requires knowing the seasonal period beforehand) to extract the trend. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "blessed-sunday",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute the trend with LOWESS\n",
    "frac = 0.1\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "entitled-hours",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(figsize=(10, 5))\n",
    "ax.set_title(\"Retail sales\")\n",
    "ax.set_ylabel(\"Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "dramatic-cache",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[\"y_detrend\"] = df[\"y\"] - df[\"lowess\"]\n",
    "ax = df[\"y_detrend\"].plot(figsize=(10, 5))\n",
    "ax.set_title(\"Retail sales detrended\")\n",
    "ax.set_ylabel(\"y detrend\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "proprietary-background",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df[\"y_detrend\"],\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of retail sales detrended\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "legislative-africa",
   "metadata": {},
   "source": [
    " - There are peaks at multiples of the seasonal lag of 12 due to the seasonality. This is much clearer now that we have de-trended. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "499b0edd-b326-4b46-bb45-afc888ea54a4",
   "metadata": {},
   "source": [
    "You might be asking should we now look at the ACF of the trend component we extracted using LOESS? This will only be helpful if the trend ended up picking a longer term seasonality and so has some periodicity. If it does not then we don't look at the ACF of just the trend component because it will not give helpful information. A long term trend as shown in the previous section results in a long decaying ACF and doesn't help us select any useful lags. Let's show this explicitly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "32a1f03e-e1a1-40cc-b5f2-da8cf68473c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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biHhp+fK+5fMFEfFIYDwz31y2fbZ8PqNl01cDTwI+HxH/B9gKvBD4BnDJihbdR0cajJvb9qPXuF8X0RmMJUkaXAMbboFXtH39W+Xz9cCbWUBm3hgR5wL/G/groAJ8DPiDzKysRKHDoB+9xv0aDuEFdJIkDa6BvaAsM2OBxxkt65zR+nVL+3cy8zGZeWxmHpeZF2Tm3tWsfz050mDcr4vovIBOkqTBNcg9txpy/RoO4QV0kiQNLsOt1rR+DIfwAjqDsSRpcA3ssARpKUcbjJte9rizlh0Sj2YoRb+GQzSD8fPecxV//ekf8rz3XMUFb7/SIRGSpIFkuJU66EcwHtRxwuBYYUnS2uGwBKnHjvYCukEaJwwOiZAkrS2GW2mNGMRxwuBYYUnS2mK4ldaQQbuADgZ3TmGDsSQNJ8OtNCT6dXtmb7YhSVpLvKBM0lHdntmbbXgBnSStJfbcSjoqgzhW2JttSNLwMtxKOmqDNlbYm21I0vByWIKkvvJmG95sQ5J6yXAraWB5sw3HCUtSO4clSFqX1tPNNhwOIWk9MdxKUhccJ9z9tGmGY0mryWEJktQlxwl3NxzCscKSVpM9t5K0ivoxs0S/hkPA0fUag72+0mrITBoJjUwameTB18VzNuaXNbLz+hvHRrjT9s39fiuA4VaSBsagjRMGxwpLvZKZ1BtJPZNGA+rl142DbXmwrfloZFJv0PK6c0DNHnyQsn3LmOFWkrQ6+jVOGAZ3rLDBWL3QGjQ7Bc9aM5y2BdRa/dAw2gyoWh7DrSStA/0YDgFHF46PptfXYKwj1WiUobMMn/X2Ryb1+sJhtbWXtBc9ouqe4VaStKgjDcbNbQdtrHC/Z5fQkcm2MNoeTGuNBo0G1BqNgyG12UPa7EGtGUiHguFWkrSiBm2scL+CMazfXt/WYFprC6T1xqEhtPn1/Ef9jXJ5v9+F1grDrSRpTRrEOYXX6wV0jUZrOG0cElJrjeJj/Pb29tdSrxhuJUlrVj/GCq/Hm23UG8nnvr+Hb920n3vfaRsPu8eJAIf0nBZBtEGtpefUcKq1yHArSRpKgxaMez0c4qobx/nYN27mYfc84bCAWm0Jp3PVOq/42Hf50a2TVGoNNo6NcM+Tt/Lix96XkWW850YjufrGcXbtm+KME47l7NN2Lms7aaUYbiVJarOWbrZx+onHsm9yjnojqZYf8VfLHtVqvXj+9Hf3HAy2TbOVOl+85jZOXmLu0f+8/g5+dOskc7Xi+87VGlxz6yRX3zjOT59+3KLbNhrJqy/7HtccYTCWVoLhVpKkHjo0GJ9AI5NKpUGtvPCpWj43w2mtfD7+2I3c7fhj+cGeA0Bxx6e7n3gsJxyzkR/umVz0e5523DFsHBuhUpsPxhvHRjjjhGOXrHfXvqmDwbapUmuwa9/UkuH26hvHueYIgzHY66uV0XW4jYhjgDOAE4DDzsDM/MLRlyVJ0tpTrR8aUGv1BtVG+VxeNHXTHTMH17/qxnFOumN22fv/3XPP5Pnv/wYAFz7sdM79iZOXFfbOPm0nZ5xwzMEQ3OxBPfu0nUtue8YJx/YlGPei19dwrE6WHW7LUPu/gWcssF0ACYz2pjRJklZOozEfUqst4bRWT268ffrget/dPcGeidllz4E6NVeb/6LL66xag9n977Jj2UFtZCR4zrn3GKhg3Ite36MJxwbj4dVNz+3fABcBnwA+B+xbkYokSToCjUZSaX7MX2uwb2ru4LLr900zValRq5fr1Be/wv+2yflt56p1qvW1PxvAoAXjo+n1haMLxwbj4dZNuP1V4D2Z+dSVKkaSpKbMoke16fapCmOjcUhALXpc56/+b7X3wGzLtnPr4mYIR6ofwfhoen2hf2OFDcZrXzfhdjNw+QrVIUlaF5K5Wv1gMK00hwOUIbVSa15kVbTfOjEfUK/fN3XYjADqvyMNxkfT6wv9Gyvcz2Cs5ekm3H4duNdKFSJJGlwHe1BrWQbW+ceNt7dcYHXDOCdtW3xqKq0PR9PrC4N5EZ2zS6yObsLtnwAfjYj3Z+bXV6ogSdLa0BzD2nqB1O79M/PhtSXILnah1YHZ6ipUq0F0pL2+zW0H7SK6fs4usZ6CcTfh9lnAj4ErIuIrwHVA++dDmZkX9ao4SVLvZSaz1XoRTGvl0IAyqFZqjUPGscKhY1dv2T9LvbHQnqXVNWgX0fVrdon1Foy7CbcXtrx+RPlolxQzKkiSVllmHhzDWqnNB9W5WuOQqa2uvtGhAdKgBWPHCS/fssNtZo6sZCGSpIXVG8lcdf7Dsua8q60BdrHhAQ4NkHpn0GaX6Oc44X7w9ruS1Gf1RjGDQLO3da4cKtD8ujntVevwgJvHZwZi7lVJh+rH7BL9Csb9ciS33w3ggcCZZdN1wFWZy7lviyStL82LsuaqDebqdXbvn5854Hu7J7hlYpaaIVXSEgZxnHC/dBVuI+IXgbcCp7ct2hURz8nMT/asMkkaAJV6nQOz1fke10OeD7+zVWvv62y1brCVtGyDNk64X5YdbiPiEcBHgCmKW/F+p1x0FsXFZh+JiEdl5pd7XaQk9UNmMleG1blaveh9rTW44fapg+t856YJbt1W6WOVkrS0fgTjfumm5/bPgFuAczJzd+uCiHgdcGW5zi/2rjxJWnkHZmvcOjF7MMTOVufHvHYacDU5Wzu8UZKG1NHMR9wP3YTbc4DXtwdbgMzcHRH/APxhzypbRERsAv4CuAA4DvgG8JLM/OwS270ceFmHRXsy8869rlNS/83V6kVorTaYrdYPBtgb9s1PjXXNrQfYP+PUWJI0DLoJtxuBA4ssnyjXWQ0XA08E3ghcQzEs4rKIODczv7KM7Z8NTLd8PbPQipIGw/h0hdGRYK7WEmKrdRoLDGmteicCSRpK3YTb7wFPiYi3ZOYhn8lFxBjwG+U6KyoiHgo8BXhBZr6xbLsE+DbwGuBnl7Gb92fm+ErVKKm3KrUGs7V6EVqr80MHbtg3P/b1v26bYnKu/aaJkqT1pptw+7fA3wOfjYjXAt8t288CXkgxbOFZvS2vo18HqsDbmg2ZORsRbwdeFRGndBo60SYiYjtwwCnMpLXjwGyNPROzxRCCMszOVhvUF+h+rS3ULStJWre6uUPZ2yLiXsAfAY/ssMrrMvPtPatsYQ8Evp+Zk23tXwUCOBtYKtzeAGwFDkTEpcAfZebtvS5U0qEqtQYz1Tpz1TozZXDd1dL76thXSdLR6mqe28z847KH9PHA3cvm64CPZOYPe13cAk4BburQ3gy0py6y7R3A/wGuACrAz1GMv/3piDgnM+c6bRQR40vUtGOJ5dK6UW80ODBbZba8gKvZ+zpTrXfsgW29pawkSUer6zuUlSH2dStQy3JtATqF0NmW5R1l5t+0NV0aEd8G3gI8DfiHnlQoDbnm/K8zlaIH9obb56/P/OaP93PSNntfJUn90XW4XQNmgE0d2je3LO/G/6UI6+ezQLjNzJ2L7aDs2bX3VkOn0UhmyiEEM5WiF7b5urUTdt9kxw89JEladQuG24h4B5DAszKzXn69lMzMi3pWXWe7KYYmtGu23dzNzjKzERE3AccfbWHSoKo35qfF+vEd00zO1Zip1he8iYEkSWvVYj23F1KE298F6uXXS0lgpcPt1cDvR8TWtovKzimfv9HNziJiA3Aa8LXelCetXfWyJ3a6UmOmUme6fNx0x/ywgr0H5iiuzZQkafAsGG4zc2Sxr/voUooZG55JcROH5h3LngF8KTNvLtvuBhyTmd9vbhgRJ2Xm3rb9vZBiSMMnV750aXVkJlNzNaYrxRCC6Wrxeq7qjQskScNt4MbcZuaVEfHPwGsj4hTgWuDpwOkc2rt8CXAuh3ZBXR8R76W44cMc8CiKO519Efinla9e6r25Wp3puTq3TMwPN7/6x+OctNWLuiRJ68+yw21EXAc8PzM/ssDyXwbelJln9qq4RTwNeEX5fBzwTeCXMvNLS2z3/4BHAE+iuFXwrnI/f9l+1zVprWk0kulySMH0XJ2pStEbW6sXg2L3HpidX9lxspKkdaqbntszKG58sJBjKXpPV1xmzlIMJ3jhIuuc16Htt1ewLKmnJmar3DQ+w0ylxtRcMUuBF3dJkrS4Xg5LuBMwveRakg5RqTWYmqsxOVfj2r3z10hee+uk88VKktSlRcNtRPwscF5L069FxD07rHo88BSKmQwkLaA1yE5VakzN1ajU5rtjJ2aqfaxOkqTBt1TP7aOAl5WvE/i18tHJNcALelSXNBQmZqrcePt0xyArSZJ6b6lw+0bgYooZB64Dng98uG2dBCYz8/Ye1yYNjEYjmazUmJyt8V+3TR1sv3avQwskSVpNi4bbzNwP7AeIiEcB3+0wT6y07sxW60zOFWF2cq7olW3ejnZ8utLf4iRJWseWfUFZZv7bShYirVWNTPbPVFvCbNXhBZIkrVFdzZYQEWPAEyhudXsc0H7XsszMlb79rrSiqvXGIb2v3/CGCJIkDYxubuJwPPB54P4UY3CT+bt/ZUub4VYDpVJrMDFb5cBsjYmZKtOVujdEkCRpQHXTc/tK4D7AM4HLKW57+xjgBuBPgXuVX0tr2lytzsRMjQOzVSZma8xU6v0uSZIk9Ug34fa/AZdk5jsj4oSyrZ6ZPwB+MyIuB/4S+N0e1ygdtX1Tc1TqDSZmqsxWG/0uR5IkrZD2MbOLuTPwtfJ1rXxuHYj4IeBXelCTdFTqjeSOqQo/vmP+hnk37Jvm1ok5g60kSUOum57b24Fjy9cHgCpwWsvyKsVFZtKqm5qrsX+myvh0lQOzVRoJew/M9bssSZK0yroJtz8E7geQmY2IuAq4MCIuBkaBp1Hc6EFacbV6g/EyzO6fqVKp2SMrSZK6C7efAv4oIp6bmXPA/wbeS9Gjm8AW4Fm9L1EqTM3VuPH26YNzzqazGEiSpDbdhNtXA68vgy2Z+f6IqAG/CdSBSzPzfStQo9apRqO4eULTD/cc8Fa2kiRpUd3coSyBuba2DwIf7HVRWr8ajeSO6Qq3T1W4Y7rKLftn+l2SJEkaIF3doUxaCfVGMt4SaOsNxxtIkqQjs2C4jYinHckOM/OSIy9H60W9pYd23EArSZJ6ZLGe24s59Ba7y5GA4VYLun2qwnSlzvh0BfOsJEnqtcXC7aNWrQoNtQOztYOvr9835UVhkiRpxSwYbjPz31azEA2XWr3B3sk59kzMccO+qX6XI0mS1gkvKFNPTc7V2DMxy77JiuNoJUnSqhvpZuWIOC0i3hERP46ISkT8XNl+Utn+kJUpU2tZo5HcemCWb9+0n2/9eD+3TswZbCVJUl8su+c2Iu4OXAFsLp9PaS7LzL0R8WDgmcDXel2k1qbZap09E7PsPTBHtW6YlSRJ/dfNsIRXAQ3g/sAMcGvb8k8Aj+tRXVrD9s9Umdw9wfh0demVJUmSVlE3wxJ+HnhrZt5IMeVXu+uBu/akKq051Xrj4Ovr9k4abCVJ0prUTc/tdmD3Iss3drk/DYD901X2HJjl+7dM9LsUSZKkJXUTRm8Ezlpk+c8A1xxdOVoLqvUGew/MceuBOWYq9aLRIbWSJGkAdBNuPwj8TkS8nfke3ASIiCcCTwJe1tvytJomZqvcWk7j5WQHkiRpEHV7QdkvA1cCX6AItn8SEa8GHgpcDbyh1wVqZdXqDW6brLBnYpbpZi+tJEnSgFp2uM3MiYh4GPAK4H8AAfwCMA68FXhJZs6uRJHqPW+2IEmShtGywm1EjAJ3ASYz8/eB34+IkygC7t7MNB0NkB/ccoBjN3ntnyRJGj7LnQpsA3AdcFGzITP3ZuatBtu1b7pS48d3TB/ytSRJ0jBaVvddZs5GxG3A1ArXox5pNJJ9U8VY2gOzNfYemOt3SZIkSSuum8+mP0FxQdlbV6gW9UBmcuPtM9x6YNZb4kqSpHWnmzuUvQg4JSLeFREPiIjNK1WUjly9kdw0PmOwlSRJ61I3Pbe3Ukz/9VPAbwJERPs6mZleqSRJkqS+6CaIXoL3qZIkSdIa1s08txeuYB2SJEnSUVvWmNuI2BoR9Yh46UoXJEmSJB2pZYXbzJykuBPZ3hWtRpIkSToK3cyW8Hng3JUqRJIkSTpa3YTbFwKPjIg/j4jtK1XQckTEpoh4TUTcHBEzEXFFRJy/zG3vEhHvj4jxiJiIiA9FxN1XumZJkiStvG5mS/gssBl4KfDSiNgLTLetk5l5j14Vt4iLgScCbwSuAS4ELouIczPzKwttFBFbKXqgtwGvAmrAC4DLI+LszLxjZcuWJEnSSuom3N7AGpgKLCIeCjwFeEFmvrFsuwT4NvAa4GcX2fw5wD2BB2XmVeW2l5XbvgD4s5WrXJIkSSutm6nAzlvBOrrx60AVeFuzITNnI+LtwKsi4pTM3L3Itlc0g2257fcj4rPAkzmKcJsJN97e3pHdW7v3z3R83areaLD3wOxh7fsm5zq+Xq6j2d5th3vbfn5vt1372/bze7vtcG/bz+/ttoebqY6xffOGrvZ7pHKJrtbIpdZYYyLi08CdMvMn29rPBz4D/FJmXtZhuxGKYRR/n5m/17bsFcBLgK2ZeVhCjYjxJcraEZuO5W7Pf19X70WSJEndueGNv0HOTe3PzJ2dlnd9q9yIuAfweODMsuk64MOZee0RV9mdU4CbOrQ3e2tPXWC744FNLeu1bxvlvlfrfUiSJKnHugq3ZQ/nnwCjbYteGxGvzszVGLO6BejUJz7bsnyh7TiSbRf6y6ApIsa3bRrb8e8vetRiq62KeqPBN3+8v99lSJKkdWTr5jHudfK2Vfle9//bMSYWGVmx7HAbEb9F8dH9l4HXAt8pF51FMU3YSyLiusy8+EiLXaYZih7Ydptbli+0HUe47ZIi4LTjjznSzXumVm+we3/345YkSZKO1PYtY6uWgyIWX95Nz+3/BK4EzsvMWkv7tRHxCeDfgedRTNO1knZTDB9o12y7eYHtbqfotV1o26TzkAVJkiQNiG5u4nBf4L1twRaAsu295Tor7WrgPuWcta3OKZ+/0WmjzGwA3wIe3GHxOcCPOl1MJkmSpMHRTbitAO2BstW2cp2VdimwAXhmsyEiNgHPAL6UmTeXbXeLiPt02PZnIuKBLdveG/g54J9XunBJkiStrG6GJXwNeHZEvC0z97QuiIiTgWdRDFtYUZl5ZUT8M8VFbM3ZDZ4OnE5xp7KmS4BzKWZBaHor8NvAJyLiDRR3KPsDiuEIf73StUuSJGlldRNuX0FxC97vlTdM+G7ZfhZFr+k24Km9LW9BTyvreRpwHPBNivltv7TYRpl5ICLOowiyf0rRc/154PmZuW8lC5YkSdLK6+omDhHxOODNwGlti24AnpuZH+thbQMjIsZ37NixY3x8vN+lUKs3+NquO/pdhiRJWke2bxnjrFN3rMr32rlzJ/v37+/NTRwy86MR8XHgQcDdy+brgP8sL9iSJEmS+qbrO5SVIfZr5UOSJElaM5Y9W0JEnB8Rf7nI8r+MiP7fokuSJEnrVjdTgf0xcM9Flt+9XEeSJEnqi27C7U8BVyyy/MpyHfXR6Ehwl51b2Di2xL3pJEmShlA3Y253AFOLLJ+hmJZLfRQR3O2EY7jrcVu4fbrCnolZJmYOu6mcJEnSUOom3N5EMUvCQh4E3HJ05ahXRkaCE7du4sStm5ip1NkzMcveyTlq9eVP/SZJkjRouhmW8HHg6RHx8+0LIuJ8iruEfaJXhal3tmwc5YwTj+VBdzuOe5x8LNs2dz1JhiRJ0kDoJuW8Cngi8MmIuAy4umw/G3gsRa/tK3pZnHprZCQ4edtmTt62mam5GnsmZrltskK9YW+uJEkaDssOt5m5JyIeDvwtRZj9peYi4DKKO5Tt7n2JWgnHbhrjzJO2cvoJyW2Tc+yZmGVqrt7vsiRJko5Kt3coux74pYg4jvlpwa7JTO/3OqBGR4I7bd/MnbZv5sBslT0Tc+ybnMPOXEmSNIiWHW4j4mnAFzJzVxlmv9a2/AzgZzPzkt6WqNWybfMGtm3ewBknHMPeyTn2TMwxU7E3V5IkDY5uLih7J/DwRZafU66jATc2OsIpO7Zw9mk7ud+p2zlx60bCaXMlSdIA6GZYwlLxZgPQOIpatAbt2LKBHVs2cHqtUfbmzjJX9ccsSZLWpm7nhOo4EjMidgL/DfCCsiG1cWyEu+zcwqk7NjM+XWXPgVnGp6ukY3MlSdIasuiwhIh4WUTUI6JOEWz/sfl16wPYBzwZeO8q1Kw+igiOO3Yj97nzds4+bSd32bmFDaOOWZAkSWvDUj23VwOXUAxJeBrw78B1beskMAlcAbynx/VpDdu8YfTgrX73TRW3+j0w661+JUlS/ywabjPzw8CHASLidOCVmfnZ1ShMg2NkJDhp2yZO2raJqbkat0zMss+bQ0iSpD7o5iYOj1rJQjQcjt00xj1O2srpxze4bbLCLROzTicmSZJWTTfz3N5tOetl5g1HXo6GxdjoCHfesZk779jM/pkqt07McvtUxZtDSJKkFdXNbAm7WGC2hDajR1aKhlVzOrF6I7ljusLtUxXuMOhKkqQV0E24/QsOD7djwD2AxwPfAi7rUV0aQqMjwYlbN3Hi1k3UG8n4dIV9UxXGp6uOz5UkST3RzZjbly+0LCLOBL4CfL0HNWkdGB0JTti6iRO2bqLR2qNr0JUkSUeh25s4dJSZ10XE3wF/Dny8F/vU+jHSFnTHZ6rcPjXHHdNVanWDriRJWr6ehNvSTcD9erg/rUMjI8Hxx27k+GM30mgk+2eq7JuaY3y6StWgK0mSltDLcPsE4I4e7k/r3MhIcTe0447dSGYyVakzPl2M0Z2cq3nrX0mSdJhupgL7swUWHQ/8HHB/4LW9KEpqFxFs3TTG1k1j3PU4qNUb7J+pMj5TZXy6SqXW6HeJkiRpDeim5/bliyy7BXgp8JqjqkZaprHRkYPjdAGmKzXGp4uge2C26jRjkiStU92E27t3aEvg9sycBIiITYC3o9KqO2bjGMdsHOPUnVuoN5KJg726FWar9upKkrRedDMV2PULLYuIBwEXAb8BnNCDuqQjNtoyVheOZa5WZ2KmxsRslQOzNW8HLEnSEDviC8oi4njgN4HfAh4ABPDDHtUl9cymsVFO2jbKSduKIQyVWoOJ2SoTM0XYnTbsSpI0NLoOtxHxGIpA+yvARopA++fABzLzO70tT+q9jWMjB++UBlCtN5iYqTIxW+PAbJWpOcOuJEmDalnhNiLOoAi0TwfuCtwGXAr8D+AlmfnBlSpQWmkb2i5Oq9YbHJitHezZnao47ZgkSYNi0XAbEU+lCLXnUlwo9jHgecAngNOBp650gdJq2zA6cvBGEgCNRjJZqTE5W2NyrsaB2ZpTj0mStEYt1XP7buA64PnAezJzX3NBRKxgWdLaMTISbN+8ge2bNxxsm6vVDwm7U3M1px+TJGkNWCrczgFnAI8H7oiID2bmzIpXJa1xm8ZG2bR19OBQhkYjmaoUYXdytsaBuRpzTkEmSdKqWyrcnsL8jAjvBt4aEZcC7wJuXuHapIExMhJs27yBbZs3wI6irVJrMF0G3qm5OpNzDmeQJGmlLRpuM3MceDPw5oj4aYq5bP87cCGwl+ImDjtWtkRpMG0cG2Hj2EZ2HrPxYFul1mBqrrhIzcArSVLvRXZ5GXh5F7InUgTd88rmb1HMnvAv63E6sIgY37Fjx47x8fF+l6IB1Ay8k3PFnLsGXknSoNm+ZYyzTl2d/s6dO3eyf//+/Zm5s9PyrsPtIRsfOkXYaUAjM4/4xhCDynCrXqvUGsxU6kxVakyXvbwz1bpTkkmS1qS1FG6PKohm5i7gzyLiZUDz5g6SjlIxpGGEHcfMz9DQaCQz1TLwztWZrtSZrtSo1k28kiQ19aSXNYvu338tH5JWwMhIcOymMY7dNAbb5tvnavUi7FbrTM/VmKrUmbWXV5K0Tg3kEIKI2Am8FvhV4BjgSuAPMvPqZWx7McUwinZXZubP9K5KaXVsGhtl09gox7W0NXt5p8ug2+zlnas1DL2SpKE2cOE2IkaAjwMPAF4P7AOeA1weEQ/KzGuXsZtp4NltbXt7WqjUR4f08raoHwy9NWYqReidqdadk1eSNDQGLtwCvw48HPjVzPwQQES8H/gh8DLgacvYRzUz/3HFKpTWqNGRYOumMbZ2CL3NwDtTLR+Vuj29kqSBM6jh9mbgw82GzNxbBtz/HhEbMrO61E4iYhQ4JjMPrFyp0mAYbb0JRYvm8IZm2J1tee3thiVJa9EghtsHAv+Rh89h9lXgWcA9ge8tsY9twARwTETsAy4BXpyZs51WjojxJfbnjSw0lBYa3gAwW50Pu9OVZk9vnUrN1CtJ6p9BDLenAJ/r0L67fD6VxcPtboqL0a4CRoHHAS8A7gs8tndlSsNt84ZRNm8YZWdbe63eYLacp3e2WgTemUqD2VqdmtOWSZJWWF/DbXlx2MYlVwRaelW3AHMdVmldvth+/ldb03si4sfACyPiFzLz0x222bnYPsueXXtvJWBsdIStoyOHjeuF4uYUs7U6s5U6s9UGM2Xv72zVYQ6SpN7od8/tzwKfX86KEXFSZt4GzACbOqyyuXyeOYI63gC8EDgfOCzcSuqN5s0ptreN7c1MKvUGs9UGc9Ui+M7Wmj2/DXt8JUnL1u9w+33gGctct3nh126KoQntmm03d1tEZu6JiApwfLfbSjp6EXFwvl62bDhsebXeKHt4GweHOsxWG47xlSQdpq/hNjNvAS7ucrOrgYdHRLRdVHYOMAlc020dEXFXiuERznUrrUEbRkfYMDrCts2HL6s38mAPb2vonSuDsMMdJGl96XfP7ZG4lGI6sMcDHwKIiBOBJwEfbp0GLCLuAdC8sUNEbAY2dJj+60/L50+uaOWSem704IwOnZc3x/nOVdvCb61BxXl8JWnoDGq4vQK4JCJeD9xGcYeyEeDlbet+tnw+o3y+M3BVRPwTxZCIEYrZEs4H3peZX1jRyiWtuuY4Xzr0+mZm2eM739t78LXhV5IG0sCF28ysR8QvAa8Dfo9idoSvAk/LzKWGJIwDHwMeDVxIEW5/CPwh8DcrVLKkNSoiDk5pBoeP9W2G30q9cbDnd642/7pSazjsQZLWmDj8XgjqVkSM79ixY8f4+Hi/S5G0yioHw2+dSr3o7W32+nrBm6T1YvuWMc46dXVmRd25cyf79+/fv9BUrQPXcytJa0lz2EOneX2huIVxpT4/3KFSOzQAV+pOdSZJvWS4laQVNDISbB5ZeOgDFDM+HAy99fkA3OwJrtQaVA3AkrQshltJ6rPRkWDLxlG2bFw4ALf2ALcG32rLUIhq3QvgJMlwK0kD4NAe4M4yk2q9CMHV1p7fQ3qA7QWWNNwMt5I0JCKCjWNRTH22wLy/MN8LXK3PD3mo1ud7f1vbJWnQGG4laZ1ZTi8wFD3BlbYA3Nr72wzEtbpToklaOwy3kqSOIoJNY6NsGls8BAMHe3yrtfle4fle4Dz4utZIxwVLWlGGW0nSUdswOsKG0RHYuPh6zXHB1XIKtEODcB4Siqt1g7Ck7hluJUmr5pBxwcvQHnxrhwTgQ3uEnS9YEhhuJUlr2MEe4WVoNJJqowi9tfr8DTJq9Wb7fDg2DEvDy3ArSRoKIyPBppFRFrhZ3GGaYXixANz8utZwmIQ0KAy3kqR1qdswDFBrC73t4fjQnmEvoJP6wXArSdIyjY2OMDbKktOotWoNxPVGcUFdrRmKyxB8sK0cLlF3bjXpiBluJUlaQUcSiBuNMvi2BN5ay1jhQ9oNxdIhDLeSJK0xIyPBxpFgI8u7mK6pOdVavdHWO1y+rrcH5kZSL5eZizUsDLeSJA2J5lRrheX3FAMHg2+97DWul+OI6y29wkUYPjQ41xv2GGttMdxKkiRGR4LRke4CcVNma/AtgvEhQbnR0kvcISwbjtVLhltJknRUIoINo0EXw4oPkdneMzwfett7lBsdAnO9gQFZBxluJUlSX0UEY6PB2BGGYzi097jeSOrZ7EFOGjnfo1zP+UDcDM2tDzPy4DPcSpKkgXe0vcdNjWYwbukdbvYWN0Nyo3VZHhqOW7d1juP+MNxKkiSVRkaCEY4+JAOHhOLWoFzP9t7iw8Nxo8EhvcwOu1g+w60kSdIKaE7p1iudeoibYbnRMRgfGpwbOT/0IrN4buTw9TAbbiVJkgZAMaNF78JyU2vQbYbdRh4aghdbp9FINo11NyfzSjLcSpIkrWMRwWjAKL0Pzv2wdmK2JEmSdJQMt5IkSRoahltJkiQNDcOtJEmShobhVpIkSUPDcCtJkqShYbiVJEnS0DDcSpIkaWgYbiVJkjQ0DLeSJEkaGoZbSZIkDQ3DrSRJkoaG4VaSJElDw3ArSZKkoWG4lSRJ0tAw3EqSJGloGG4lSZI0NAy3kiRJGhqGW0mSJA2NyMx+1zDwIqIBxI4dO/pdiiRJ0lDbv38/QGZmx05aw20PRESNohd8YhW+XTNB71+F7zUMPF7L57HqjserOx6v5fNYdcfjtXzDcqy2A43MHOu00HA7YCJiHCAzd/a3ksHg8Vo+j1V3PF7d8Xgtn8eqOx6v5Vsvx8oxt5IkSRoahltJkiQNDcOtJEmShobhVpIkSUPDcCtJkqShYbiVJEnS0DDcSpIkaWg4z60kSZKGhj23kiRJGhqGW0mSJA0Nw60kSZKGhuFWkiRJQ8NwOyAiYlNEvCYibo6ImYi4IiLO73dda1FEnBcRucDjPv2ur58i4pSI+KuI+HxEHCiPyXkLrPsrEfGfETEbETdExMsiYmx1K+6f5R6riNi1wLn2V6tfdX9ExEMi4i0R8d2ImCrPl/dGxD07rPvwiPhiRExHxC0R8TcRcUw/6u6X5R6viLh8gXPrvf2qfbVFxIMj4l8i4vryd98tEfGvEfHwDut6bi3zeA37ubVuflENgYuBJwJvBK4BLgQui4hzM/Mr/StrTXsj8B9tbTf3oY615N7AH1OcQ98EDvsFARARjwU+BHwOeB7wAODPgBPLr9eDZR2r0n9QnG+tvr0yZa1Jfww8AvhnimN1Z+C5wFUR8dDM/B5ARJwNfBb4DvAHwF2BPwLOBB63+mX3zbKOV+kG4CVt2+9ajSLXiHtQZJV/AHYDO4GnAl+IiMdm5qfBc6vFso5XaXjPrcz0scYfwEOBBJ7f0raZ4pfuF/pd31p7AOeVx+sJ/a5lrT2AbcAJ5esnlMfpvA7rfYcisI22tL0SqAP36vf7WGPHahfwoX7X2+dj9XBgY1vbvYBZ4OKWtk8APwa2trQ9szy2P9fv97EGj9flwNX9rnetPYBjgFuAj7W0eW51d7yG+txyWMJg+HWgCryt2ZCZs8DbgUdGxCn9Kmyti4ht6+mj9KVk5oHM3LfYOhFxP+B+wN9lZr1l0VsphjI9cQVLXDOWc6xalUOH1tVHoE2Z+eXMrLS1/Yjij6T7AkTEduAXgEsyc7Jl1UuASeDJq1Ru3y3neLWKiLGI2Lpa9a11mTkN7KXolfTcWkL78Wo1rOeW4XYwPBD4fts/WoCvAgGcveoVDYZ3AxPATER8KiIe0O+CBsQDy+evtzZm5s0UPSMPPGwLPRqYAqYi4tqIeFa/C+q3iAjgTsBtZdMDKD4ubT+vKsDVrPPzqsPxarovxbl1oLzm4sURse5+d5cdFSdGxL0j4tXA/SmGIYDn1mGWOF5NQ3tu2aM1GE4BburQvrt8PnUVaxkEFeBS4DKKXxQ/STH26osR8ZDM/GE/ixsAzU8CdndYthvPt3bfBP4d+CFwEvDbwN9FxPGZuW4uKuvgqcBdmB/Tt9R59bDVKGoNaz9eANdSjHv/FrAd+O/Aq4C7Ab+z2gX22TuZ/9SoAvxf4NXl155bh1vseMGQn1uG28GwBZjr0D7bslylzPwy8OWWpo9ExEcp/qp/GcUvES2seT4tdM6ty4/eF5KZv9L6dUS8E/gi8KcR8beZub8/lfVPFLOSvIXiOLy7bF7qvFq3/48tcLzIzIvaVn1XRLwfeFZE/HVm/mAVy+y3Pwf+juJCsQuATcAGivPJc+twix2voT+3hqL7eR2YoTgx221uWa5FZOY3gM8ATp+2tOb5tNA55/m2iHKc8hsp/ghYdz1GEXFn4OPAHcCTMrNRLvK86mCR47WQN1AMR3vUSte2lmTmtzLz05n5TuAxwIMoZhECz63DLHG8FjI055bhdjDsZv5jl1bNtvU+vdVy3Qgc3+8iBkDzo72FzjnPt6XdWD6vq/MtInZQDAfaATwmM29pWex51WaJ47WQdXlutcrMKvBh4NciYgueW4vqcLwWMjTnluF2MFwN3KfDFY3nlM/fWN1yBtaZFFeManFXl88Pbm2MiFMpPuK6Gi3lzPJ53ZxvEbEZ+CjwE8Avd/hY89tAjcPPq40UF8VevfJVrh3LOF4LWXfn1gK2UPQybsNzazlaj9dChubcMtwOhkspxso8s9kQEZuAZwBfKq9iVykiTurQ9kiKj1o+ufoVDZbM/A7wfYqxV6Mti34XaAAf6Etha1BEHN9+dXEZWl4IHADWxQ1WyvPkfRTDMJ6UmVe0r1OOPf4McEHbH+oXAFspbmiwLizneEXE9vL/+fbtXkzx7/Azq1Frvy3w//l24EnAjZl5q+fWvOUcr/VwbnlB2QDIzCsj4p+B15Zz2l4LPB04neJOZTrU+yJimuKistsopkB5Vvn65X2sa02IiJeWL5vzaV5Qhv/xzHxz2fZC4CPAJyPifRTH8LkUc9+um9kmlnGsfgV4SURcSnEzhxMo/m3+BPC7HabvG1ZvoDgWHwWOj4jfbFk2mZkfKl+/hOLf5eUR8TaKTwL+ELgsMwf+F2oXlnO8fhr4p4h4D8UNe7ZSzNf6YOA1mflfq1ty37wvImYpzptbgNMoOnbuCjylZT3PrcJyjtfwn1v9vouEj+U9KAbFv45ibNEsxRy3P9/vutbiA/g94EpgH8XNL24C3gHcrd+1rYUHxR17Oj12ta33BOCq8ny7keLq27F+17+WjhXFRRofpZj/d45iXuXLKT5m7nv9q3icLu/ivHok8CWKi3z2AG8Cju33e1hrxwu4O0WP467yWE2V/689vd/1r/Kx+q3yeN1a/n++t/w3d26HdT23lnG81sO5FeUblSRJkgaeY24lSZI0NAy3kiRJGhqGW0mSJA0Nw60kSZKGhuFWkiRJQ8NwK0mSpKFhuJUkSdLQMNxKkiRpaBhuJWkIRMR5EZER8Uf9rkWS+slwK0mSpKFhuJUkSdLQMNxK0joREdsi4pURcWVE3BYRcxFxTUT8VUQc02H9EyLiHRGxLyImI+JzEfHAiLg8Inb14S1I0pLG+l2AJGnV3AV4JvAB4J+AGnAu8CLggcBjmitGxCbgM8DZwMXAV4GfLNtuX8WaJakrhltJWj+uA07LzGpL21si4hXASyPioZn51bL9Iopg+9LMfFVz5Yj4FvAW4PpVqlmSuuKwBElaJzKz0gy2ETEWEcdFxIkUvbEA57Ss/jigDvxN227eBuxf8WIl6QgZbiVpHYmI50TEN4E5iuEFe4HLy8XHtax6d+DmzJxs3T4zK8B/rUKpknREHJYgSetERPwB8AbgU8CbgJuBCsVY3Iuxw0PSEDDcStL6cQGwC3hsZjaajRHxix3W3QX8fERsbe29jYgNFL264ytaqSQdIf9Kl6T1ow4kEM2GiBgD/qTDuh8FRoHfb2v/bWDHShUoSUfLnltJGi7nR8TmDu23AZcCfwlcFhEfBLYD/wOodlj/bcCzgVdGxD2ZnwrsycA1+PtD0hrlf06SNFx+sXy0+wFwFkWv7UUUsyDcArwPeCfw3daVM3MuIs4HXgc8niLUXgmcTxF8D7vpgyStBZGZ/a5BkjQgImKUohf4yszsFKIlqa8ccytJ6igitnRo/h1gJ/Dp1a1GkpbHnltJUkcR8Y/AZuDLFPPiPoxijO61wE9n5oE+lidJHRluJUkdRcTTgP8J/ASwFdgDfAL408zc08/aJGkhhltJkiQNDcfcSpIkaWgYbiVJkjQ0DLeSJEkaGoZbSZIkDQ3DrSRJkoaG4VaSJElD4/8HZdGja8XmPtAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot ACF of the trend extracted by LOWESS\n",
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df[\"lowess\"],\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of trend\")\n",
    "ax.set_ylabel(\"Autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdbe3768-b302-4da6-985b-4fbfda5a4fd9",
   "metadata": {},
   "source": [
    "# ACF after detrending and deseasonalising"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4d03232-9da7-48c5-abf3-88ffee74bb6b",
   "metadata": {},
   "source": [
    "Now that we know the period of any seasonality we can remove the impact of the trend and seasonal components on the ACF to help identify useful lags. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e69038d-3462-4017-a383-05150eabd57d",
   "metadata": {},
   "source": [
    "The retail sales example has one seasonality with period 12 so let's use STL. If the timeseries has multiple seasonal periods (e.g., daily and weekly) then use MSTL to help detrend and deseasonalise the timeseries. We will show an example with multiple seasonalities in notebook 8 of this section."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "daeea7e9-2c66-4dc2-a547-34581daba67e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Break the timeseries into trend, seasonality, and residual components\n",
    "res = STL(df[\"y\"]).fit()\n",
    "\n",
    "# Plot the full decomposition\n",
    "plt.rc(\"figure\", figsize=(10, 10))\n",
    "plt.rc(\"font\", size=5)\n",
    "res.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bfd44d5-36f4-4eeb-a9aa-6ecf675a7eda",
   "metadata": {},
   "source": [
    "The residuals from STL are: $y - trend - season$. Therefore, the detrended and deaseasonalised data is equivalent to the residual component here. Let's look at the ACF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "6f33e1a6-7fbf-4858-98d4-749f37fdc01a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=res.resid,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of residual\")\n",
    "ax.set_ylabel(\"Autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7062e01-8767-42a4-940f-bfdf5539e61e",
   "metadata": {},
   "source": [
    "We can see that there aren't any large significant lags. There appears to be some significant lags at multiples of 12 which suggests that some part of the seasonal component is still in the residuals and was not perfectly extracted by STL. Practically speaking from looking at this plot there wouldn't be an additional lag beyond 1 or 2 that we would want to add for feature engineering purposes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf5ade19-b91b-44b9-8778-c7d3db0352cf",
   "metadata": {},
   "source": [
    "That's it for this notebook! Let's move onto the partial autocorrelation function!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
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    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
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   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
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}
